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Finding the Fourth Proportional to 9,142.28, 12,616.29 and 4,950.50

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Solution

The fourth proportional to 9,142.28, 12,616.29 and 4,950.50 is: 6,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.28 : 12,616.29 = 4,950.50 : x
  2. Step 2: Convert to fraction form
    9,142.28/12,616.29 = 4,950.50/x
  3. Step 3: Cross multiply
    9,142.28x = 12,616.29 × 4,950.50
  4. Step 4: Simplify right side
    9,142.28x = 62,456,943.65
  5. Step 5: Solve for x
    x = 62,456,943.65/9,142.28
  6. Step 6: Final answer
    x = 6,831.66

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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.