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Finding the Fourth Proportional to 6,569.64, 9,066.24 and 3,585.54

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Solution

The fourth proportional to 6,569.64, 9,066.24 and 3,585.54 is: 4,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.64 : 9,066.24 = 3,585.54 : x
  2. Step 2: Convert to fraction form
    6,569.64/9,066.24 = 3,585.54/x
  3. Step 3: Cross multiply
    6,569.64x = 9,066.24 × 3,585.54
  4. Step 4: Simplify right side
    6,569.64x = 32,507,366.17
  5. Step 5: Solve for x
    x = 32,507,366.17/6,569.64
  6. Step 6: Final answer
    x = 4,948.12

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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.