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Finding the Fourth Proportional to 9,635.60, 14,431.80 and 5,013.20

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Solution

The fourth proportional to 9,635.60, 14,431.80 and 5,013.20 is: 7,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.60 : 14,431.80 = 5,013.20 : x
  2. Step 2: Convert to fraction form
    9,635.60/14,431.80 = 5,013.20/x
  3. Step 3: Cross multiply
    9,635.60x = 14,431.80 × 5,013.20
  4. Step 4: Simplify right side
    9,635.60x = 72,349,499.76
  5. Step 5: Solve for x
    x = 72,349,499.76/9,635.60
  6. Step 6: Final answer
    x = 7,508.56

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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.