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Finding the Fourth Proportional to 7,013.12, 9,680.16 and 4,359.20

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Solution

The fourth proportional to 7,013.12, 9,680.16 and 4,359.20 is: 6,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.12 : 9,680.16 = 4,359.20 : x
  2. Step 2: Convert to fraction form
    7,013.12/9,680.16 = 4,359.20/x
  3. Step 3: Cross multiply
    7,013.12x = 9,680.16 × 4,359.20
  4. Step 4: Simplify right side
    7,013.12x = 42,197,753.47
  5. Step 5: Solve for x
    x = 42,197,753.47/7,013.12
  6. Step 6: Final answer
    x = 6,016.97

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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.