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Finding the Fourth Proportional to 9,140.34, 13,711.28 and 2,566.59

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Solution

The fourth proportional to 9,140.34, 13,711.28 and 2,566.59 is: 3,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.34 : 13,711.28 = 2,566.59 : x
  2. Step 2: Convert to fraction form
    9,140.34/13,711.28 = 2,566.59/x
  3. Step 3: Cross multiply
    9,140.34x = 13,711.28 × 2,566.59
  4. Step 4: Simplify right side
    9,140.34x = 35,191,169.88
  5. Step 5: Solve for x
    x = 35,191,169.88/9,140.34
  6. Step 6: Final answer
    x = 3,850.09

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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.