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Finding the Fourth Proportional to 9,113.00, 12,575.97 and 5,285.39

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Solution

The fourth proportional to 9,113.00, 12,575.97 and 5,285.39 is: 7,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.00 : 12,575.97 = 5,285.39 : x
  2. Step 2: Convert to fraction form
    9,113.00/12,575.97 = 5,285.39/x
  3. Step 3: Cross multiply
    9,113.00x = 12,575.97 × 5,285.39
  4. Step 4: Simplify right side
    9,113.00x = 66,468,843.20
  5. Step 5: Solve for x
    x = 66,468,843.20/9,113.00
  6. Step 6: Final answer
    x = 7,293.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.