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Finding the Fourth Proportional to 9,650.56, 14,471.52 and 6,730.24

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Solution

The fourth proportional to 9,650.56, 14,471.52 and 6,730.24 is: 10,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.56 : 14,471.52 = 6,730.24 : x
  2. Step 2: Convert to fraction form
    9,650.56/14,471.52 = 6,730.24/x
  3. Step 3: Cross multiply
    9,650.56x = 14,471.52 × 6,730.24
  4. Step 4: Simplify right side
    9,650.56x = 97,396,802.76
  5. Step 5: Solve for x
    x = 97,396,802.76/9,650.56
  6. Step 6: Final answer
    x = 10,092.35

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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.