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Finding the Fourth Proportional to 9,487.60, 14,231.40 and 6,377.20

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Solution

The fourth proportional to 9,487.60, 14,231.40 and 6,377.20 is: 9,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.60 : 14,231.40 = 6,377.20 : x
  2. Step 2: Convert to fraction form
    9,487.60/14,231.40 = 6,377.20/x
  3. Step 3: Cross multiply
    9,487.60x = 14,231.40 × 6,377.20
  4. Step 4: Simplify right side
    9,487.60x = 90,756,484.08
  5. Step 5: Solve for x
    x = 90,756,484.08/9,487.60
  6. Step 6: Final answer
    x = 9,565.80

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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.