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Finding the Fourth Proportional to 9,728.92, 13,423.62 and 7,216.84

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Solution

The fourth proportional to 9,728.92, 13,423.62 and 7,216.84 is: 9,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.92 : 13,423.62 = 7,216.84 : x
  2. Step 2: Convert to fraction form
    9,728.92/13,423.62 = 7,216.84/x
  3. Step 3: Cross multiply
    9,728.92x = 13,423.62 × 7,216.84
  4. Step 4: Simplify right side
    9,728.92x = 96,876,117.76
  5. Step 5: Solve for x
    x = 96,876,117.76/9,728.92
  6. Step 6: Final answer
    x = 9,957.54

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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.