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Finding the Fourth Proportional to 9,659.36, 14,470.65 and 5,502.23

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Solution

The fourth proportional to 9,659.36, 14,470.65 and 5,502.23 is: 8,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.36 : 14,470.65 = 5,502.23 : x
  2. Step 2: Convert to fraction form
    9,659.36/14,470.65 = 5,502.23/x
  3. Step 3: Cross multiply
    9,659.36x = 14,470.65 × 5,502.23
  4. Step 4: Simplify right side
    9,659.36x = 79,620,844.55
  5. Step 5: Solve for x
    x = 79,620,844.55/9,659.36
  6. Step 6: Final answer
    x = 8,242.87

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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.