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Finding the Fourth Proportional to 9,044.16, 12,481.56 and 5,065.20

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Solution

The fourth proportional to 9,044.16, 12,481.56 and 5,065.20 is: 6,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044.16 : 12,481.56 = 5,065.20 : x
  2. Step 2: Convert to fraction form
    9,044.16/12,481.56 = 5,065.20/x
  3. Step 3: Cross multiply
    9,044.16x = 12,481.56 × 5,065.20
  4. Step 4: Simplify right side
    9,044.16x = 63,221,597.71
  5. Step 5: Solve for x
    x = 63,221,597.71/9,044.16
  6. Step 6: Final answer
    x = 6,990.32

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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.