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Finding the Fourth Proportional to 6,655.34, 9,184.82 and 4,002.80

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Solution

The fourth proportional to 6,655.34, 9,184.82 and 4,002.80 is: 5,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.34 : 9,184.82 = 4,002.80 : x
  2. Step 2: Convert to fraction form
    6,655.34/9,184.82 = 4,002.80/x
  3. Step 3: Cross multiply
    6,655.34x = 9,184.82 × 4,002.80
  4. Step 4: Simplify right side
    6,655.34x = 36,764,931.56
  5. Step 5: Solve for x
    x = 36,764,931.56/6,655.34
  6. Step 6: Final answer
    x = 5,524.13

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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.