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Finding the Fourth Proportional to 9,257.04, 12,778.20 and 6,117.48

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Solution

The fourth proportional to 9,257.04, 12,778.20 and 6,117.48 is: 8,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.04 : 12,778.20 = 6,117.48 : x
  2. Step 2: Convert to fraction form
    9,257.04/12,778.20 = 6,117.48/x
  3. Step 3: Cross multiply
    9,257.04x = 12,778.20 × 6,117.48
  4. Step 4: Simplify right side
    9,257.04x = 78,170,382.94
  5. Step 5: Solve for x
    x = 78,170,382.94/9,257.04
  6. Step 6: Final answer
    x = 8,444.43

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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.