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Finding the Fourth Proportional to 9,712.20, 14,549.10 and 6,601.80

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Solution

The fourth proportional to 9,712.20, 14,549.10 and 6,601.80 is: 9,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.20 : 14,549.10 = 6,601.80 : x
  2. Step 2: Convert to fraction form
    9,712.20/14,549.10 = 6,601.80/x
  3. Step 3: Cross multiply
    9,712.20x = 14,549.10 × 6,601.80
  4. Step 4: Simplify right side
    9,712.20x = 96,050,248.38
  5. Step 5: Solve for x
    x = 96,050,248.38/9,712.20
  6. Step 6: Final answer
    x = 9,889.65

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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.