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Finding the Fourth Proportional to 9,142.19, 12,616.24 and 4,950.44

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Solution

The fourth proportional to 9,142.19, 12,616.24 and 4,950.44 is: 6,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.19 : 12,616.24 = 4,950.44 : x
  2. Step 2: Convert to fraction form
    9,142.19/12,616.24 = 4,950.44/x
  3. Step 3: Cross multiply
    9,142.19x = 12,616.24 × 4,950.44
  4. Step 4: Simplify right side
    9,142.19x = 62,455,939.15
  5. Step 5: Solve for x
    x = 62,455,939.15/9,142.19
  6. Step 6: Final answer
    x = 6,831.62

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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.