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Finding the Fourth Proportional to 9,542.76, 13,166.31 and 6,185.71

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Solution

The fourth proportional to 9,542.76, 13,166.31 and 6,185.71 is: 8,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.76 : 13,166.31 = 6,185.71 : x
  2. Step 2: Convert to fraction form
    9,542.76/13,166.31 = 6,185.71/x
  3. Step 3: Cross multiply
    9,542.76x = 13,166.31 × 6,185.71
  4. Step 4: Simplify right side
    9,542.76x = 81,442,975.43
  5. Step 5: Solve for x
    x = 81,442,975.43/9,542.76
  6. Step 6: Final answer
    x = 8,534.53

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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.