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Finding the Fourth Proportional to 9,147.72, 13,682.01 and 5,390.58

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Solution

The fourth proportional to 9,147.72, 13,682.01 and 5,390.58 is: 8,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.72 : 13,682.01 = 5,390.58 : x
  2. Step 2: Convert to fraction form
    9,147.72/13,682.01 = 5,390.58/x
  3. Step 3: Cross multiply
    9,147.72x = 13,682.01 × 5,390.58
  4. Step 4: Simplify right side
    9,147.72x = 73,753,969.47
  5. Step 5: Solve for x
    x = 73,753,969.47/9,147.72
  6. Step 6: Final answer
    x = 8,062.55

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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.