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Finding the Fourth Proportional to 9,760.56, 14,617.24 and 5,587.92

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Solution

The fourth proportional to 9,760.56, 14,617.24 and 5,587.92 is: 8,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.56 : 14,617.24 = 5,587.92 : x
  2. Step 2: Convert to fraction form
    9,760.56/14,617.24 = 5,587.92/x
  3. Step 3: Cross multiply
    9,760.56x = 14,617.24 × 5,587.92
  4. Step 4: Simplify right side
    9,760.56x = 81,679,985.20
  5. Step 5: Solve for x
    x = 81,679,985.20/9,760.56
  6. Step 6: Final answer
    x = 8,368.37

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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.