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Finding the Fourth Proportional to 9,078.76, 13,588.92 and 6,140.88

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Solution

The fourth proportional to 9,078.76, 13,588.92 and 6,140.88 is: 9,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.76 : 13,588.92 = 6,140.88 : x
  2. Step 2: Convert to fraction form
    9,078.76/13,588.92 = 6,140.88/x
  3. Step 3: Cross multiply
    9,078.76x = 13,588.92 × 6,140.88
  4. Step 4: Simplify right side
    9,078.76x = 83,447,927.05
  5. Step 5: Solve for x
    x = 83,447,927.05/9,078.76
  6. Step 6: Final answer
    x = 9,191.56

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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.