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Finding the Fourth Proportional to 6,549.48, 9,037.98 and 3,897.18

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Solution

The fourth proportional to 6,549.48, 9,037.98 and 3,897.18 is: 5,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.48 : 9,037.98 = 3,897.18 : x
  2. Step 2: Convert to fraction form
    6,549.48/9,037.98 = 3,897.18/x
  3. Step 3: Cross multiply
    6,549.48x = 9,037.98 × 3,897.18
  4. Step 4: Simplify right side
    6,549.48x = 35,222,634.90
  5. Step 5: Solve for x
    x = 35,222,634.90/6,549.48
  6. Step 6: Final answer
    x = 5,377.93

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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.