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Finding the Fourth Proportional to 6,277.76, 9,412.98 and 4,327.70

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Solution

The fourth proportional to 6,277.76, 9,412.98 and 4,327.70 is: 6,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.76 : 9,412.98 = 4,327.70 : x
  2. Step 2: Convert to fraction form
    6,277.76/9,412.98 = 4,327.70/x
  3. Step 3: Cross multiply
    6,277.76x = 9,412.98 × 4,327.70
  4. Step 4: Simplify right side
    6,277.76x = 40,736,553.55
  5. Step 5: Solve for x
    x = 40,736,553.55/6,277.76
  6. Step 6: Final answer
    x = 6,489.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.