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Finding the Fourth Proportional to 6,549.60, 9,041.54 and 4,193.11

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Solution

The fourth proportional to 6,549.60, 9,041.54 and 4,193.11 is: 5,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.60 : 9,041.54 = 4,193.11 : x
  2. Step 2: Convert to fraction form
    6,549.60/9,041.54 = 4,193.11/x
  3. Step 3: Cross multiply
    6,549.60x = 9,041.54 × 4,193.11
  4. Step 4: Simplify right side
    6,549.60x = 37,912,171.79
  5. Step 5: Solve for x
    x = 37,912,171.79/6,549.60
  6. Step 6: Final answer
    x = 5,788.47

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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.