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Finding the Fourth Proportional to 9,877.14, 14,793.03 and 6,403.86

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Solution

The fourth proportional to 9,877.14, 14,793.03 and 6,403.86 is: 9,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.14 : 14,793.03 = 6,403.86 : x
  2. Step 2: Convert to fraction form
    9,877.14/14,793.03 = 6,403.86/x
  3. Step 3: Cross multiply
    9,877.14x = 14,793.03 × 6,403.86
  4. Step 4: Simplify right side
    9,877.14x = 94,732,493.10
  5. Step 5: Solve for x
    x = 94,732,493.10/9,877.14
  6. Step 6: Final answer
    x = 9,591.09

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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.