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Finding the Fourth Proportional to 9,151.17, 12,629.49 and 5,616.69

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Solution

The fourth proportional to 9,151.17, 12,629.49 and 5,616.69 is: 7,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.17 : 12,629.49 = 5,616.69 : x
  2. Step 2: Convert to fraction form
    9,151.17/12,629.49 = 5,616.69/x
  3. Step 3: Cross multiply
    9,151.17x = 12,629.49 × 5,616.69
  4. Step 4: Simplify right side
    9,151.17x = 70,935,930.19
  5. Step 5: Solve for x
    x = 70,935,930.19/9,151.17
  6. Step 6: Final answer
    x = 7,751.57

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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.