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Finding the Fourth Proportional to 6,569.76, 9,066.38 and 3,918.72

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Solution

The fourth proportional to 6,569.76, 9,066.38 and 3,918.72 is: 5,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.76 : 9,066.38 = 3,918.72 : x
  2. Step 2: Convert to fraction form
    6,569.76/9,066.38 = 3,918.72/x
  3. Step 3: Cross multiply
    6,569.76x = 9,066.38 × 3,918.72
  4. Step 4: Simplify right side
    6,569.76x = 35,528,585.04
  5. Step 5: Solve for x
    x = 35,528,585.04/6,569.76
  6. Step 6: Final answer
    x = 5,407.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.