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Finding the Fourth Proportional to 9,680.75, 13,358.82 and 5,701.10

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Solution

The fourth proportional to 9,680.75, 13,358.82 and 5,701.10 is: 7,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.75 : 13,358.82 = 5,701.10 : x
  2. Step 2: Convert to fraction form
    9,680.75/13,358.82 = 5,701.10/x
  3. Step 3: Cross multiply
    9,680.75x = 13,358.82 × 5,701.10
  4. Step 4: Simplify right side
    9,680.75x = 76,159,968.70
  5. Step 5: Solve for x
    x = 76,159,968.70/9,680.75
  6. Step 6: Final answer
    x = 7,867.16

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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.