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Finding the Fourth Proportional to 9,654.24, 13,323.04 and 6,299.20

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Solution

The fourth proportional to 9,654.24, 13,323.04 and 6,299.20 is: 8,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.24 : 13,323.04 = 6,299.20 : x
  2. Step 2: Convert to fraction form
    9,654.24/13,323.04 = 6,299.20/x
  3. Step 3: Cross multiply
    9,654.24x = 13,323.04 × 6,299.20
  4. Step 4: Simplify right side
    9,654.24x = 83,924,493.57
  5. Step 5: Solve for x
    x = 83,924,493.57/9,654.24
  6. Step 6: Final answer
    x = 8,693.02

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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.