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Finding the Fourth Proportional to 9,609.78, 14,403.36 and 4,338.66

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Solution

The fourth proportional to 9,609.78, 14,403.36 and 4,338.66 is: 6,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.78 : 14,403.36 = 4,338.66 : x
  2. Step 2: Convert to fraction form
    9,609.78/14,403.36 = 4,338.66/x
  3. Step 3: Cross multiply
    9,609.78x = 14,403.36 × 4,338.66
  4. Step 4: Simplify right side
    9,609.78x = 62,491,281.90
  5. Step 5: Solve for x
    x = 62,491,281.90/9,609.78
  6. Step 6: Final answer
    x = 6,502.88

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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.