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Finding the Fourth Proportional to 6,569.56, 9,065.91 and 3,585.37

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Solution

The fourth proportional to 6,569.56, 9,065.91 and 3,585.37 is: 4,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.56 : 9,065.91 = 3,585.37 : x
  2. Step 2: Convert to fraction form
    6,569.56/9,065.91 = 3,585.37/x
  3. Step 3: Cross multiply
    6,569.56x = 9,065.91 × 3,585.37
  4. Step 4: Simplify right side
    6,569.56x = 32,504,628.04
  5. Step 5: Solve for x
    x = 32,504,628.04/6,569.56
  6. Step 6: Final answer
    x = 4,947.77

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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.