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Finding the Fourth Proportional to 9,025.80, 12,456 and 5,046.90

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Solution

The fourth proportional to 9,025.80, 12,456 and 5,046.90 is: 6,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.80 : 12,456 = 5,046.90 : x
  2. Step 2: Convert to fraction form
    9,025.80/12,456 = 5,046.90/x
  3. Step 3: Cross multiply
    9,025.80x = 12,456 × 5,046.90
  4. Step 4: Simplify right side
    9,025.80x = 62,864,186.40
  5. Step 5: Solve for x
    x = 62,864,186.40/9,025.80
  6. Step 6: Final answer
    x = 6,964.94

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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.