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Finding the Fourth Proportional to 9,142.53, 12,616.74 and 4,950.78

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Solution

The fourth proportional to 9,142.53, 12,616.74 and 4,950.78 is: 6,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.53 : 12,616.74 = 4,950.78 : x
  2. Step 2: Convert to fraction form
    9,142.53/12,616.74 = 4,950.78/x
  3. Step 3: Cross multiply
    9,142.53x = 12,616.74 × 4,950.78
  4. Step 4: Simplify right side
    9,142.53x = 62,462,704.06
  5. Step 5: Solve for x
    x = 62,462,704.06/9,142.53
  6. Step 6: Final answer
    x = 6,832.10

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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.