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Finding the Fourth Proportional to 9,794.30, 14,691.45 and 7,680.20

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Solution

The fourth proportional to 9,794.30, 14,691.45 and 7,680.20 is: 11,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.30 : 14,691.45 = 7,680.20 : x
  2. Step 2: Convert to fraction form
    9,794.30/14,691.45 = 7,680.20/x
  3. Step 3: Cross multiply
    9,794.30x = 14,691.45 × 7,680.20
  4. Step 4: Simplify right side
    9,794.30x = 112,833,274.29
  5. Step 5: Solve for x
    x = 112,833,274.29/9,794.30
  6. Step 6: Final answer
    x = 11,520.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.