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Finding the Fourth Proportional to 9,154.68, 13,737.96 and 3,310.80

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Solution

The fourth proportional to 9,154.68, 13,737.96 and 3,310.80 is: 4,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.68 : 13,737.96 = 3,310.80 : x
  2. Step 2: Convert to fraction form
    9,154.68/13,737.96 = 3,310.80/x
  3. Step 3: Cross multiply
    9,154.68x = 13,737.96 × 3,310.80
  4. Step 4: Simplify right side
    9,154.68x = 45,483,637.97
  5. Step 5: Solve for x
    x = 45,483,637.97/9,154.68
  6. Step 6: Final answer
    x = 4,968.35

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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.