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Finding the Fourth Proportional to 9,151.84, 12,629.55 and 4,960.09

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Solution

The fourth proportional to 9,151.84, 12,629.55 and 4,960.09 is: 6,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.84 : 12,629.55 = 4,960.09 : x
  2. Step 2: Convert to fraction form
    9,151.84/12,629.55 = 4,960.09/x
  3. Step 3: Cross multiply
    9,151.84x = 12,629.55 × 4,960.09
  4. Step 4: Simplify right side
    9,151.84x = 62,643,704.66
  5. Step 5: Solve for x
    x = 62,643,704.66/9,151.84
  6. Step 6: Final answer
    x = 6,844.93

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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.