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Finding the Fourth Proportional to 8,570.09, 12,856.49 and 3,639.75

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Solution

The fourth proportional to 8,570.09, 12,856.49 and 3,639.75 is: 5,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.09 : 12,856.49 = 3,639.75 : x
  2. Step 2: Convert to fraction form
    8,570.09/12,856.49 = 3,639.75/x
  3. Step 3: Cross multiply
    8,570.09x = 12,856.49 × 3,639.75
  4. Step 4: Simplify right side
    8,570.09x = 46,794,391.28
  5. Step 5: Solve for x
    x = 46,794,391.28/8,570.09
  6. Step 6: Final answer
    x = 5,460.20

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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.