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Finding the Fourth Proportional to 9,708.84, 14,562.18 and 3,468.60

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Solution

The fourth proportional to 9,708.84, 14,562.18 and 3,468.60 is: 5,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.84 : 14,562.18 = 3,468.60 : x
  2. Step 2: Convert to fraction form
    9,708.84/14,562.18 = 3,468.60/x
  3. Step 3: Cross multiply
    9,708.84x = 14,562.18 × 3,468.60
  4. Step 4: Simplify right side
    9,708.84x = 50,510,377.55
  5. Step 5: Solve for x
    x = 50,510,377.55/9,708.84
  6. Step 6: Final answer
    x = 5,202.51

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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.