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Finding the Fourth Proportional to 9,089.82, 12,539.52 and 6,438.60

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Solution

The fourth proportional to 9,089.82, 12,539.52 and 6,438.60 is: 8,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.82 : 12,539.52 = 6,438.60 : x
  2. Step 2: Convert to fraction form
    9,089.82/12,539.52 = 6,438.60/x
  3. Step 3: Cross multiply
    9,089.82x = 12,539.52 × 6,438.60
  4. Step 4: Simplify right side
    9,089.82x = 80,736,953.47
  5. Step 5: Solve for x
    x = 80,736,953.47/9,089.82
  6. Step 6: Final answer
    x = 8,882.13

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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.