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Finding the Fourth Proportional to 9,142.32, 12,616.43 and 4,950.57

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Solution

The fourth proportional to 9,142.32, 12,616.43 and 4,950.57 is: 6,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.32 : 12,616.43 = 4,950.57 : x
  2. Step 2: Convert to fraction form
    9,142.32/12,616.43 = 4,950.57/x
  3. Step 3: Cross multiply
    9,142.32x = 12,616.43 × 4,950.57
  4. Step 4: Simplify right side
    9,142.32x = 62,458,519.87
  5. Step 5: Solve for x
    x = 62,458,519.87/9,142.32
  6. Step 6: Final answer
    x = 6,831.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.