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Finding the Fourth Proportional to 9,307.80, 12,841.92 and 6,120.18

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Solution

The fourth proportional to 9,307.80, 12,841.92 and 6,120.18 is: 8,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.80 : 12,841.92 = 6,120.18 : x
  2. Step 2: Convert to fraction form
    9,307.80/12,841.92 = 6,120.18/x
  3. Step 3: Cross multiply
    9,307.80x = 12,841.92 × 6,120.18
  4. Step 4: Simplify right side
    9,307.80x = 78,594,861.95
  5. Step 5: Solve for x
    x = 78,594,861.95/9,307.80
  6. Step 6: Final answer
    x = 8,443.98

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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.