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Finding the Fourth Proportional to 9,885.24, 13,638.07 and 6,107.20

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Solution

The fourth proportional to 9,885.24, 13,638.07 and 6,107.20 is: 8,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.24 : 13,638.07 = 6,107.20 : x
  2. Step 2: Convert to fraction form
    9,885.24/13,638.07 = 6,107.20/x
  3. Step 3: Cross multiply
    9,885.24x = 13,638.07 × 6,107.20
  4. Step 4: Simplify right side
    9,885.24x = 83,290,394.64
  5. Step 5: Solve for x
    x = 83,290,394.64/9,885.24
  6. Step 6: Final answer
    x = 8,425.73

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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.