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Finding the Fourth Proportional to 9,599.28, 14,372.16 and 4,909.20

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Solution

The fourth proportional to 9,599.28, 14,372.16 and 4,909.20 is: 7,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.28 : 14,372.16 = 4,909.20 : x
  2. Step 2: Convert to fraction form
    9,599.28/14,372.16 = 4,909.20/x
  3. Step 3: Cross multiply
    9,599.28x = 14,372.16 × 4,909.20
  4. Step 4: Simplify right side
    9,599.28x = 70,555,807.87
  5. Step 5: Solve for x
    x = 70,555,807.87/9,599.28
  6. Step 6: Final answer
    x = 7,350.11

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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.