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Finding the Fourth Proportional to 6,705.38, 9,987.24 and 6,354.10

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Solution

The fourth proportional to 6,705.38, 9,987.24 and 6,354.10 is: 9,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.38 : 9,987.24 = 6,354.10 : x
  2. Step 2: Convert to fraction form
    6,705.38/9,987.24 = 6,354.10/x
  3. Step 3: Cross multiply
    6,705.38x = 9,987.24 × 6,354.10
  4. Step 4: Simplify right side
    6,705.38x = 63,459,921.68
  5. Step 5: Solve for x
    x = 63,459,921.68/6,705.38
  6. Step 6: Final answer
    x = 9,464.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.