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Finding the Fourth Proportional to 9,052.14, 12,493.71 and 5,902.86

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Solution

The fourth proportional to 9,052.14, 12,493.71 and 5,902.86 is: 8,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.14 : 12,493.71 = 5,902.86 : x
  2. Step 2: Convert to fraction form
    9,052.14/12,493.71 = 5,902.86/x
  3. Step 3: Cross multiply
    9,052.14x = 12,493.71 × 5,902.86
  4. Step 4: Simplify right side
    9,052.14x = 73,748,621.01
  5. Step 5: Solve for x
    x = 73,748,621.01/9,052.14
  6. Step 6: Final answer
    x = 8,147.09

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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.