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Finding the Fourth Proportional to 9,275.31, 12,798.32 and 5,295.15

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Solution

The fourth proportional to 9,275.31, 12,798.32 and 5,295.15 is: 7,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.31 : 12,798.32 = 5,295.15 : x
  2. Step 2: Convert to fraction form
    9,275.31/12,798.32 = 5,295.15/x
  3. Step 3: Cross multiply
    9,275.31x = 12,798.32 × 5,295.15
  4. Step 4: Simplify right side
    9,275.31x = 67,768,997.67
  5. Step 5: Solve for x
    x = 67,768,997.67/9,275.31
  6. Step 6: Final answer
    x = 7,306.39

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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.