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Finding the Fourth Proportional to 9,658.32, 14,478.72 and 3,500.88

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Solution

The fourth proportional to 9,658.32, 14,478.72 and 3,500.88 is: 5,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.32 : 14,478.72 = 3,500.88 : x
  2. Step 2: Convert to fraction form
    9,658.32/14,478.72 = 3,500.88/x
  3. Step 3: Cross multiply
    9,658.32x = 14,478.72 × 3,500.88
  4. Step 4: Simplify right side
    9,658.32x = 50,688,261.27
  5. Step 5: Solve for x
    x = 50,688,261.27/9,658.32
  6. Step 6: Final answer
    x = 5,248.14

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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.