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Finding the Fourth Proportional to 9,282.52, 13,914.06 and 4,348

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Solution

The fourth proportional to 9,282.52, 13,914.06 and 4,348 is: 6,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.52 : 13,914.06 = 4,348 : x
  2. Step 2: Convert to fraction form
    9,282.52/13,914.06 = 4,348/x
  3. Step 3: Cross multiply
    9,282.52x = 13,914.06 × 4,348
  4. Step 4: Simplify right side
    9,282.52x = 60,498,332.88
  5. Step 5: Solve for x
    x = 60,498,332.88/9,282.52
  6. Step 6: Final answer
    x = 6,517.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.