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Finding the Fourth Proportional to 9,146.48, 13,685.16 and 8,593.52

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Solution

The fourth proportional to 9,146.48, 13,685.16 and 8,593.52 is: 12,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.48 : 13,685.16 = 8,593.52 : x
  2. Step 2: Convert to fraction form
    9,146.48/13,685.16 = 8,593.52/x
  3. Step 3: Cross multiply
    9,146.48x = 13,685.16 × 8,593.52
  4. Step 4: Simplify right side
    9,146.48x = 117,603,696.16
  5. Step 5: Solve for x
    x = 117,603,696.16/9,146.48
  6. Step 6: Final answer
    x = 12,857.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.