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Finding the Fourth Proportional to 6,569.45, 9,061.34 and 3,914.81

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Solution

The fourth proportional to 6,569.45, 9,061.34 and 3,914.81 is: 5,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.45 : 9,061.34 = 3,914.81 : x
  2. Step 2: Convert to fraction form
    6,569.45/9,061.34 = 3,914.81/x
  3. Step 3: Cross multiply
    6,569.45x = 9,061.34 × 3,914.81
  4. Step 4: Simplify right side
    6,569.45x = 35,473,456.89
  5. Step 5: Solve for x
    x = 35,473,456.89/6,569.45
  6. Step 6: Final answer
    x = 5,399.76

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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.