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Finding the Fourth Proportional to 9,275.04, 12,799.68 and 5,083.20

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Solution

The fourth proportional to 9,275.04, 12,799.68 and 5,083.20 is: 7,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.04 : 12,799.68 = 5,083.20 : x
  2. Step 2: Convert to fraction form
    9,275.04/12,799.68 = 5,083.20/x
  3. Step 3: Cross multiply
    9,275.04x = 12,799.68 × 5,083.20
  4. Step 4: Simplify right side
    9,275.04x = 65,063,333.38
  5. Step 5: Solve for x
    x = 65,063,333.38/9,275.04
  6. Step 6: Final answer
    x = 7,014.88

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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.