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Finding the Fourth Proportional to 7,233.81, 9,982.71 and 4,210.73

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Solution

The fourth proportional to 7,233.81, 9,982.71 and 4,210.73 is: 5,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.81 : 9,982.71 = 4,210.73 : x
  2. Step 2: Convert to fraction form
    7,233.81/9,982.71 = 4,210.73/x
  3. Step 3: Cross multiply
    7,233.81x = 9,982.71 × 4,210.73
  4. Step 4: Simplify right side
    7,233.81x = 42,034,475.42
  5. Step 5: Solve for x
    x = 42,034,475.42/7,233.81
  6. Step 6: Final answer
    x = 5,810.83

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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.