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Finding the Fourth Proportional to 9,686.17, 13,388.25 and 7,052.05

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Solution

The fourth proportional to 9,686.17, 13,388.25 and 7,052.05 is: 9,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.17 : 13,388.25 = 7,052.05 : x
  2. Step 2: Convert to fraction form
    9,686.17/13,388.25 = 7,052.05/x
  3. Step 3: Cross multiply
    9,686.17x = 13,388.25 × 7,052.05
  4. Step 4: Simplify right side
    9,686.17x = 94,414,608.41
  5. Step 5: Solve for x
    x = 94,414,608.41/9,686.17
  6. Step 6: Final answer
    x = 9,747.36

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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.