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Finding the Fourth Proportional to 6,655.56, 9,188.98 and 4,140.42

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Solution

The fourth proportional to 6,655.56, 9,188.98 and 4,140.42 is: 5,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.56 : 9,188.98 = 4,140.42 : x
  2. Step 2: Convert to fraction form
    6,655.56/9,188.98 = 4,140.42/x
  3. Step 3: Cross multiply
    6,655.56x = 9,188.98 × 4,140.42
  4. Step 4: Simplify right side
    6,655.56x = 38,046,236.57
  5. Step 5: Solve for x
    x = 38,046,236.57/6,655.56
  6. Step 6: Final answer
    x = 5,716.46

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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.