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Finding the Fourth Proportional to 9,760.52, 14,655.36 and 9,614.72

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Solution

The fourth proportional to 9,760.52, 14,655.36 and 9,614.72 is: 14,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.52 : 14,655.36 = 9,614.72 : x
  2. Step 2: Convert to fraction form
    9,760.52/14,655.36 = 9,614.72/x
  3. Step 3: Cross multiply
    9,760.52x = 14,655.36 × 9,614.72
  4. Step 4: Simplify right side
    9,760.52x = 140,907,182.90
  5. Step 5: Solve for x
    x = 140,907,182.90/9,760.52
  6. Step 6: Final answer
    x = 14,436.44

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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.