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Finding the Fourth Proportional to 6,569.68, 9,066.18 and 3,775

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Solution

The fourth proportional to 6,569.68, 9,066.18 and 3,775 is: 5,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.68 : 9,066.18 = 3,775 : x
  2. Step 2: Convert to fraction form
    6,569.68/9,066.18 = 3,775/x
  3. Step 3: Cross multiply
    6,569.68x = 9,066.18 × 3,775
  4. Step 4: Simplify right side
    6,569.68x = 34,224,829.50
  5. Step 5: Solve for x
    x = 34,224,829.50/6,569.68
  6. Step 6: Final answer
    x = 5,209.51

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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.