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Finding the Fourth Proportional to 8,934.14, 13,391.76 and 4,006.10

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Solution

The fourth proportional to 8,934.14, 13,391.76 and 4,006.10 is: 6,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.14 : 13,391.76 = 4,006.10 : x
  2. Step 2: Convert to fraction form
    8,934.14/13,391.76 = 4,006.10/x
  3. Step 3: Cross multiply
    8,934.14x = 13,391.76 × 4,006.10
  4. Step 4: Simplify right side
    8,934.14x = 53,648,729.74
  5. Step 5: Solve for x
    x = 53,648,729.74/8,934.14
  6. Step 6: Final answer
    x = 6,004.91

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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.