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Finding the Fourth Proportional to 34,509.91, 51,766.01 and 9,547.87

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Solution

The fourth proportional to 34,509.91, 51,766.01 and 9,547.87 is: 14,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509.91 : 51,766.01 = 9,547.87 : x
  2. Step 2: Convert to fraction form
    34,509.91/51,766.01 = 9,547.87/x
  3. Step 3: Cross multiply
    34,509.91x = 51,766.01 × 9,547.87
  4. Step 4: Simplify right side
    34,509.91x = 494,255,028.35
  5. Step 5: Solve for x
    x = 494,255,028.35/34,509.91
  6. Step 6: Final answer
    x = 14,322.12

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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.