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Finding the Fourth Proportional to 6,370.47, 9,547.20 and 2,859.73

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Solution

The fourth proportional to 6,370.47, 9,547.20 and 2,859.73 is: 4,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.47 : 9,547.20 = 2,859.73 : x
  2. Step 2: Convert to fraction form
    6,370.47/9,547.20 = 2,859.73/x
  3. Step 3: Cross multiply
    6,370.47x = 9,547.20 × 2,859.73
  4. Step 4: Simplify right side
    6,370.47x = 27,302,414.26
  5. Step 5: Solve for x
    x = 27,302,414.26/6,370.47
  6. Step 6: Final answer
    x = 4,285.78

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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.