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Finding the Fourth Proportional to 9,307.80, 12,845.20 and 5,116.12

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Solution

The fourth proportional to 9,307.80, 12,845.20 and 5,116.12 is: 7,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.80 : 12,845.20 = 5,116.12 : x
  2. Step 2: Convert to fraction form
    9,307.80/12,845.20 = 5,116.12/x
  3. Step 3: Cross multiply
    9,307.80x = 12,845.20 × 5,116.12
  4. Step 4: Simplify right side
    9,307.80x = 65,717,584.62
  5. Step 5: Solve for x
    x = 65,717,584.62/9,307.80
  6. Step 6: Final answer
    x = 7,060.49

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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.