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Finding the Fourth Proportional to 9,680.16, 13,359.06 and 5,701.44

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Solution

The fourth proportional to 9,680.16, 13,359.06 and 5,701.44 is: 7,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.16 : 13,359.06 = 5,701.44 : x
  2. Step 2: Convert to fraction form
    9,680.16/13,359.06 = 5,701.44/x
  3. Step 3: Cross multiply
    9,680.16x = 13,359.06 × 5,701.44
  4. Step 4: Simplify right side
    9,680.16x = 76,165,879.05
  5. Step 5: Solve for x
    x = 76,165,879.05/9,680.16
  6. Step 6: Final answer
    x = 7,868.25

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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.