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Finding the Fourth Proportional to 6,569.46, 9,061.35 and 3,914.82

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Solution

The fourth proportional to 6,569.46, 9,061.35 and 3,914.82 is: 5,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.46 : 9,061.35 = 3,914.82 : x
  2. Step 2: Convert to fraction form
    6,569.46/9,061.35 = 3,914.82/x
  3. Step 3: Cross multiply
    6,569.46x = 9,061.35 × 3,914.82
  4. Step 4: Simplify right side
    6,569.46x = 35,473,554.21
  5. Step 5: Solve for x
    x = 35,473,554.21/6,569.46
  6. Step 6: Final answer
    x = 5,399.77

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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.