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Finding the Fourth Proportional to 9,954.68, 13,737.46 and 5,478.75

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Solution

The fourth proportional to 9,954.68, 13,737.46 and 5,478.75 is: 7,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.68 : 13,737.46 = 5,478.75 : x
  2. Step 2: Convert to fraction form
    9,954.68/13,737.46 = 5,478.75/x
  3. Step 3: Cross multiply
    9,954.68x = 13,737.46 × 5,478.75
  4. Step 4: Simplify right side
    9,954.68x = 75,264,108.98
  5. Step 5: Solve for x
    x = 75,264,108.98/9,954.68
  6. Step 6: Final answer
    x = 7,560.68

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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.