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Finding the Fourth Proportional to 9,646.72, 13,308.24 and 7,404.64

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Solution

The fourth proportional to 9,646.72, 13,308.24 and 7,404.64 is: 10,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.72 : 13,308.24 = 7,404.64 : x
  2. Step 2: Convert to fraction form
    9,646.72/13,308.24 = 7,404.64/x
  3. Step 3: Cross multiply
    9,646.72x = 13,308.24 × 7,404.64
  4. Step 4: Simplify right side
    9,646.72x = 98,542,726.23
  5. Step 5: Solve for x
    x = 98,542,726.23/9,646.72
  6. Step 6: Final answer
    x = 10,215.15

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