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Finding the Fourth Proportional to 9,686.72, 13,366.08 and 6,101.12

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Solution

The fourth proportional to 9,686.72, 13,366.08 and 6,101.12 is: 8,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.72 : 13,366.08 = 6,101.12 : x
  2. Step 2: Convert to fraction form
    9,686.72/13,366.08 = 6,101.12/x
  3. Step 3: Cross multiply
    9,686.72x = 13,366.08 × 6,101.12
  4. Step 4: Simplify right side
    9,686.72x = 81,548,058.01
  5. Step 5: Solve for x
    x = 81,548,058.01/9,686.72
  6. Step 6: Final answer
    x = 8,418.54

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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.