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Finding the Fourth Proportional to 9,034.62, 12,468.47 and 5,056.44

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Solution

The fourth proportional to 9,034.62, 12,468.47 and 5,056.44 is: 6,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.62 : 12,468.47 = 5,056.44 : x
  2. Step 2: Convert to fraction form
    9,034.62/12,468.47 = 5,056.44/x
  3. Step 3: Cross multiply
    9,034.62x = 12,468.47 × 5,056.44
  4. Step 4: Simplify right side
    9,034.62x = 63,046,045.16
  5. Step 5: Solve for x
    x = 63,046,045.16/9,034.62
  6. Step 6: Final answer
    x = 6,978.27

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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.