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Finding the Fourth Proportional to 6,569.08, 9,862.73 and 4,113.56

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Solution

The fourth proportional to 6,569.08, 9,862.73 and 4,113.56 is: 6,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.08 : 9,862.73 = 4,113.56 : x
  2. Step 2: Convert to fraction form
    6,569.08/9,862.73 = 4,113.56/x
  3. Step 3: Cross multiply
    6,569.08x = 9,862.73 × 4,113.56
  4. Step 4: Simplify right side
    6,569.08x = 40,570,931.62
  5. Step 5: Solve for x
    x = 40,570,931.62/6,569.08
  6. Step 6: Final answer
    x = 6,176.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.