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Finding the Fourth Proportional to 9,269.75, 12,778.88 and 6,120.47

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Solution

The fourth proportional to 9,269.75, 12,778.88 and 6,120.47 is: 8,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.75 : 12,778.88 = 6,120.47 : x
  2. Step 2: Convert to fraction form
    9,269.75/12,778.88 = 6,120.47/x
  3. Step 3: Cross multiply
    9,269.75x = 12,778.88 × 6,120.47
  4. Step 4: Simplify right side
    9,269.75x = 78,212,657.18
  5. Step 5: Solve for x
    x = 78,212,657.18/9,269.75
  6. Step 6: Final answer
    x = 8,437.41

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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.