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Finding the Fourth Proportional to 9,102.40, 13,651.10 and 5,765.64

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Solution

The fourth proportional to 9,102.40, 13,651.10 and 5,765.64 is: 8,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.40 : 13,651.10 = 5,765.64 : x
  2. Step 2: Convert to fraction form
    9,102.40/13,651.10 = 5,765.64/x
  3. Step 3: Cross multiply
    9,102.40x = 13,651.10 × 5,765.64
  4. Step 4: Simplify right side
    9,102.40x = 78,707,328.20
  5. Step 5: Solve for x
    x = 78,707,328.20/9,102.40
  6. Step 6: Final answer
    x = 8,646.88

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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.