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Finding the Fourth Proportional to 9,957.42, 14,931.87 and 3,380.63

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Solution

The fourth proportional to 9,957.42, 14,931.87 and 3,380.63 is: 5,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.42 : 14,931.87 = 3,380.63 : x
  2. Step 2: Convert to fraction form
    9,957.42/14,931.87 = 3,380.63/x
  3. Step 3: Cross multiply
    9,957.42x = 14,931.87 × 3,380.63
  4. Step 4: Simplify right side
    9,957.42x = 50,479,053.02
  5. Step 5: Solve for x
    x = 50,479,053.02/9,957.42
  6. Step 6: Final answer
    x = 5,069.49

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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.