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Finding the Fourth Proportional to 9,881.58, 14,822.31 and 4,951.15

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Solution

The fourth proportional to 9,881.58, 14,822.31 and 4,951.15 is: 7,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.58 : 14,822.31 = 4,951.15 : x
  2. Step 2: Convert to fraction form
    9,881.58/14,822.31 = 4,951.15/x
  3. Step 3: Cross multiply
    9,881.58x = 14,822.31 × 4,951.15
  4. Step 4: Simplify right side
    9,881.58x = 73,387,480.16
  5. Step 5: Solve for x
    x = 73,387,480.16/9,881.58
  6. Step 6: Final answer
    x = 7,426.69

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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.