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Finding the Fourth Proportional to 8,547,923.92, 12,823,959.48 and 2,564,291.92

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Solution

The fourth proportional to 8,547,923.92, 12,823,959.48 and 2,564,291.92 is: 3,847,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547,923.92 : 12,823,959.48 = 2,564,291.92 : x
  2. Step 2: Convert to fraction form
    8,547,923.92/12,823,959.48 = 2,564,291.92/x
  3. Step 3: Cross multiply
    8,547,923.92x = 12,823,959.48 × 2,564,291.92
  4. Step 4: Simplify right side
    8,547,923.92x = 32,884,375,676,971.40
  5. Step 5: Solve for x
    x = 32,884,375,676,971.40/8,547,923.92
  6. Step 6: Final answer
    x = 3,847,059.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.