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Finding the Fourth Proportional to 9,025.38, 12,455.24 and 5,046.46

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Solution

The fourth proportional to 9,025.38, 12,455.24 and 5,046.46 is: 6,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.38 : 12,455.24 = 5,046.46 : x
  2. Step 2: Convert to fraction form
    9,025.38/12,455.24 = 5,046.46/x
  3. Step 3: Cross multiply
    9,025.38x = 12,455.24 × 5,046.46
  4. Step 4: Simplify right side
    9,025.38x = 62,854,870.45
  5. Step 5: Solve for x
    x = 62,854,870.45/9,025.38
  6. Step 6: Final answer
    x = 6,964.24

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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.