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Finding the Fourth Proportional to 9,701.18, 13,392.72 and 6,531.14

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Solution

The fourth proportional to 9,701.18, 13,392.72 and 6,531.14 is: 9,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.18 : 13,392.72 = 6,531.14 : x
  2. Step 2: Convert to fraction form
    9,701.18/13,392.72 = 6,531.14/x
  3. Step 3: Cross multiply
    9,701.18x = 13,392.72 × 6,531.14
  4. Step 4: Simplify right side
    9,701.18x = 87,469,762.78
  5. Step 5: Solve for x
    x = 87,469,762.78/9,701.18
  6. Step 6: Final answer
    x = 9,016.41

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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.