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Finding the Fourth Proportional to 6,542.60, 9,034.78 and 4,188.92

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Solution

The fourth proportional to 6,542.60, 9,034.78 and 4,188.92 is: 5,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.60 : 9,034.78 = 4,188.92 : x
  2. Step 2: Convert to fraction form
    6,542.60/9,034.78 = 4,188.92/x
  3. Step 3: Cross multiply
    6,542.60x = 9,034.78 × 4,188.92
  4. Step 4: Simplify right side
    6,542.60x = 37,845,970.64
  5. Step 5: Solve for x
    x = 37,845,970.64/6,542.60
  6. Step 6: Final answer
    x = 5,784.55

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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.