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Finding the Fourth Proportional to 9,865.05, 13,612.53 and 5,616.66

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Solution

The fourth proportional to 9,865.05, 13,612.53 and 5,616.66 is: 7,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.05 : 13,612.53 = 5,616.66 : x
  2. Step 2: Convert to fraction form
    9,865.05/13,612.53 = 5,616.66/x
  3. Step 3: Cross multiply
    9,865.05x = 13,612.53 × 5,616.66
  4. Step 4: Simplify right side
    9,865.05x = 76,456,952.75
  5. Step 5: Solve for x
    x = 76,456,952.75/9,865.05
  6. Step 6: Final answer
    x = 7,750.29

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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.