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Finding the Fourth Proportional to 10,423.71, 14,391.42 and 9,302.73

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Solution

The fourth proportional to 10,423.71, 14,391.42 and 9,302.73 is: 12,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.71 : 14,391.42 = 9,302.73 : x
  2. Step 2: Convert to fraction form
    10,423.71/14,391.42 = 9,302.73/x
  3. Step 3: Cross multiply
    10,423.71x = 14,391.42 × 9,302.73
  4. Step 4: Simplify right side
    10,423.71x = 133,879,494.58
  5. Step 5: Solve for x
    x = 133,879,494.58/10,423.71
  6. Step 6: Final answer
    x = 12,843.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.