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Finding the Fourth Proportional to 9,151.47, 12,625.28 and 6,168.26

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Solution

The fourth proportional to 9,151.47, 12,625.28 and 6,168.26 is: 8,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.47 : 12,625.28 = 6,168.26 : x
  2. Step 2: Convert to fraction form
    9,151.47/12,625.28 = 6,168.26/x
  3. Step 3: Cross multiply
    9,151.47x = 12,625.28 × 6,168.26
  4. Step 4: Simplify right side
    9,151.47x = 77,876,033.47
  5. Step 5: Solve for x
    x = 77,876,033.47/9,151.47
  6. Step 6: Final answer
    x = 8,509.67

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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.