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Finding the Fourth Proportional to 7,098,443.06, 9,784,375.08 and 5,547,008.30

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Solution

The fourth proportional to 7,098,443.06, 9,784,375.08 and 5,547,008.30 is: 7,645,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098,443.06 : 9,784,375.08 = 5,547,008.30 : x
  2. Step 2: Convert to fraction form
    7,098,443.06/9,784,375.08 = 5,547,008.30/x
  3. Step 3: Cross multiply
    7,098,443.06x = 9,784,375.08 × 5,547,008.30
  4. Step 4: Simplify right side
    7,098,443.06x = 54,274,009,779,073.16
  5. Step 5: Solve for x
    x = 54,274,009,779,073.16/7,098,443.06
  6. Step 6: Final answer
    x = 7,645,903.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.