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Finding the Fourth Proportional to 6,569.09, 9,065.46 and 3,585.05

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Solution

The fourth proportional to 6,569.09, 9,065.46 and 3,585.05 is: 4,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.09 : 9,065.46 = 3,585.05 : x
  2. Step 2: Convert to fraction form
    6,569.09/9,065.46 = 3,585.05/x
  3. Step 3: Cross multiply
    6,569.09x = 9,065.46 × 3,585.05
  4. Step 4: Simplify right side
    6,569.09x = 32,500,082.05
  5. Step 5: Solve for x
    x = 32,500,082.05/6,569.09
  6. Step 6: Final answer
    x = 4,947.43

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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.