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Finding the Fourth Proportional to 9,538.87, 14,308.71 and 3,615.16

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Solution

The fourth proportional to 9,538.87, 14,308.71 and 3,615.16 is: 5,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.87 : 14,308.71 = 3,615.16 : x
  2. Step 2: Convert to fraction form
    9,538.87/14,308.71 = 3,615.16/x
  3. Step 3: Cross multiply
    9,538.87x = 14,308.71 × 3,615.16
  4. Step 4: Simplify right side
    9,538.87x = 51,728,276.04
  5. Step 5: Solve for x
    x = 51,728,276.04/9,538.87
  6. Step 6: Final answer
    x = 5,422.89

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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.