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Finding the Fourth Proportional to 9,140.38, 12,613.79 and 4,948.63

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Solution

The fourth proportional to 9,140.38, 12,613.79 and 4,948.63 is: 6,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.38 : 12,613.79 = 4,948.63 : x
  2. Step 2: Convert to fraction form
    9,140.38/12,613.79 = 4,948.63/x
  3. Step 3: Cross multiply
    9,140.38x = 12,613.79 × 4,948.63
  4. Step 4: Simplify right side
    9,140.38x = 62,420,954.86
  5. Step 5: Solve for x
    x = 62,420,954.86/9,140.38
  6. Step 6: Final answer
    x = 6,829.14

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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.