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Finding the Fourth Proportional to 9,399.40, 14,102.70 and 9,251.80

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Solution

The fourth proportional to 9,399.40, 14,102.70 and 9,251.80 is: 13,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.40 : 14,102.70 = 9,251.80 : x
  2. Step 2: Convert to fraction form
    9,399.40/14,102.70 = 9,251.80/x
  3. Step 3: Cross multiply
    9,399.40x = 14,102.70 × 9,251.80
  4. Step 4: Simplify right side
    9,399.40x = 130,475,359.86
  5. Step 5: Solve for x
    x = 130,475,359.86/9,399.40
  6. Step 6: Final answer
    x = 13,881.24

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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.