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Finding the Fourth Proportional to 7,234.86, 9,982.31 and 4,210.49

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Solution

The fourth proportional to 7,234.86, 9,982.31 and 4,210.49 is: 5,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.86 : 9,982.31 = 4,210.49 : x
  2. Step 2: Convert to fraction form
    7,234.86/9,982.31 = 4,210.49/x
  3. Step 3: Cross multiply
    7,234.86x = 9,982.31 × 4,210.49
  4. Step 4: Simplify right side
    7,234.86x = 42,030,345.47
  5. Step 5: Solve for x
    x = 42,030,345.47/7,234.86
  6. Step 6: Final answer
    x = 5,809.42

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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.