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Finding the Fourth Proportional to 9,853.14, 14,777.82 and 6,337.61

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Solution

The fourth proportional to 9,853.14, 14,777.82 and 6,337.61 is: 9,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.14 : 14,777.82 = 6,337.61 : x
  2. Step 2: Convert to fraction form
    9,853.14/14,777.82 = 6,337.61/x
  3. Step 3: Cross multiply
    9,853.14x = 14,777.82 × 6,337.61
  4. Step 4: Simplify right side
    9,853.14x = 93,656,059.81
  5. Step 5: Solve for x
    x = 93,656,059.81/9,853.14
  6. Step 6: Final answer
    x = 9,505.20

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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.