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Finding the Fourth Proportional to 9,162.56, 12,644.22 and 4,970.78

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Solution

The fourth proportional to 9,162.56, 12,644.22 and 4,970.78 is: 6,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.56 : 12,644.22 = 4,970.78 : x
  2. Step 2: Convert to fraction form
    9,162.56/12,644.22 = 4,970.78/x
  3. Step 3: Cross multiply
    9,162.56x = 12,644.22 × 4,970.78
  4. Step 4: Simplify right side
    9,162.56x = 62,851,635.89
  5. Step 5: Solve for x
    x = 62,851,635.89/9,162.56
  6. Step 6: Final answer
    x = 6,859.62

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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.