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Finding the Fourth Proportional to 9,151.76, 12,629.52 and 4,960.04

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Solution

The fourth proportional to 9,151.76, 12,629.52 and 4,960.04 is: 6,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.76 : 12,629.52 = 4,960.04 : x
  2. Step 2: Convert to fraction form
    9,151.76/12,629.52 = 4,960.04/x
  3. Step 3: Cross multiply
    9,151.76x = 12,629.52 × 4,960.04
  4. Step 4: Simplify right side
    9,151.76x = 62,642,924.38
  5. Step 5: Solve for x
    x = 62,642,924.38/9,151.76
  6. Step 6: Final answer
    x = 6,844.90

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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.