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Finding the Fourth Proportional to 9,151.69, 12,628.85 and 5,172.57

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Solution

The fourth proportional to 9,151.69, 12,628.85 and 5,172.57 is: 7,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.69 : 12,628.85 = 5,172.57 : x
  2. Step 2: Convert to fraction form
    9,151.69/12,628.85 = 5,172.57/x
  3. Step 3: Cross multiply
    9,151.69x = 12,628.85 × 5,172.57
  4. Step 4: Simplify right side
    9,151.69x = 65,323,549.26
  5. Step 5: Solve for x
    x = 65,323,549.26/9,151.69
  6. Step 6: Final answer
    x = 7,137.87

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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.