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Finding the Fourth Proportional to 9,200.25, 12,704.77 and 5,844.14

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Solution

The fourth proportional to 9,200.25, 12,704.77 and 5,844.14 is: 8,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.25 : 12,704.77 = 5,844.14 : x
  2. Step 2: Convert to fraction form
    9,200.25/12,704.77 = 5,844.14/x
  3. Step 3: Cross multiply
    9,200.25x = 12,704.77 × 5,844.14
  4. Step 4: Simplify right side
    9,200.25x = 74,248,493.61
  5. Step 5: Solve for x
    x = 74,248,493.61/9,200.25
  6. Step 6: Final answer
    x = 8,070.27

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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.