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Finding the Fourth Proportional to 9,708.84, 14,560.85 and 4,161.55

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Solution

The fourth proportional to 9,708.84, 14,560.85 and 4,161.55 is: 6,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.84 : 14,560.85 = 4,161.55 : x
  2. Step 2: Convert to fraction form
    9,708.84/14,560.85 = 4,161.55/x
  3. Step 3: Cross multiply
    9,708.84x = 14,560.85 × 4,161.55
  4. Step 4: Simplify right side
    9,708.84x = 60,595,715.72
  5. Step 5: Solve for x
    x = 60,595,715.72/9,708.84
  6. Step 6: Final answer
    x = 6,241.30

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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.