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Finding the Fourth Proportional to 9,344.60, 14,016.90 and 5,658.20

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Solution

The fourth proportional to 9,344.60, 14,016.90 and 5,658.20 is: 8,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.60 : 14,016.90 = 5,658.20 : x
  2. Step 2: Convert to fraction form
    9,344.60/14,016.90 = 5,658.20/x
  3. Step 3: Cross multiply
    9,344.60x = 14,016.90 × 5,658.20
  4. Step 4: Simplify right side
    9,344.60x = 79,310,423.58
  5. Step 5: Solve for x
    x = 79,310,423.58/9,344.60
  6. Step 6: Final answer
    x = 8,487.30

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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.