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Finding the Fourth Proportional to 9,663.30, 14,489.55 and 4,115.70

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Solution

The fourth proportional to 9,663.30, 14,489.55 and 4,115.70 is: 6,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.30 : 14,489.55 = 4,115.70 : x
  2. Step 2: Convert to fraction form
    9,663.30/14,489.55 = 4,115.70/x
  3. Step 3: Cross multiply
    9,663.30x = 14,489.55 × 4,115.70
  4. Step 4: Simplify right side
    9,663.30x = 59,634,640.94
  5. Step 5: Solve for x
    x = 59,634,640.94/9,663.30
  6. Step 6: Final answer
    x = 6,171.25

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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.