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Finding the Fourth Proportional to 9,007.68, 13,513.60 and 3,164.32

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Solution

The fourth proportional to 9,007.68, 13,513.60 and 3,164.32 is: 4,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.68 : 13,513.60 = 3,164.32 : x
  2. Step 2: Convert to fraction form
    9,007.68/13,513.60 = 3,164.32/x
  3. Step 3: Cross multiply
    9,007.68x = 13,513.60 × 3,164.32
  4. Step 4: Simplify right side
    9,007.68x = 42,761,354.75
  5. Step 5: Solve for x
    x = 42,761,354.75/9,007.68
  6. Step 6: Final answer
    x = 4,747.21

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