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Finding the Fourth Proportional to 8,841.48, 12,197.14 and 5,298.54

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Solution

The fourth proportional to 8,841.48, 12,197.14 and 5,298.54 is: 7,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,841.48 : 12,197.14 = 5,298.54 : x
  2. Step 2: Convert to fraction form
    8,841.48/12,197.14 = 5,298.54/x
  3. Step 3: Cross multiply
    8,841.48x = 12,197.14 × 5,298.54
  4. Step 4: Simplify right side
    8,841.48x = 64,627,034.18
  5. Step 5: Solve for x
    x = 64,627,034.18/8,841.48
  6. Step 6: Final answer
    x = 7,309.53

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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.