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Finding the Fourth Proportional to 6,569.84, 9,066.35 and 3,585.62

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Solution

The fourth proportional to 6,569.84, 9,066.35 and 3,585.62 is: 4,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.84 : 9,066.35 = 3,585.62 : x
  2. Step 2: Convert to fraction form
    6,569.84/9,066.35 = 3,585.62/x
  3. Step 3: Cross multiply
    6,569.84x = 9,066.35 × 3,585.62
  4. Step 4: Simplify right side
    6,569.84x = 32,508,446.35
  5. Step 5: Solve for x
    x = 32,508,446.35/6,569.84
  6. Step 6: Final answer
    x = 4,948.13

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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.