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Finding the Fourth Proportional to 9,142.16, 12,616.17 and 4,950.41

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Solution

The fourth proportional to 9,142.16, 12,616.17 and 4,950.41 is: 6,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.16 : 12,616.17 = 4,950.41 : x
  2. Step 2: Convert to fraction form
    9,142.16/12,616.17 = 4,950.41/x
  3. Step 3: Cross multiply
    9,142.16x = 12,616.17 × 4,950.41
  4. Step 4: Simplify right side
    9,142.16x = 62,455,214.13
  5. Step 5: Solve for x
    x = 62,455,214.13/9,142.16
  6. Step 6: Final answer
    x = 6,831.56

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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.