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Finding the Fourth Proportional to 7,118.49, 9,823.46 and 3,932.00

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Solution

The fourth proportional to 7,118.49, 9,823.46 and 3,932.00 is: 5,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.49 : 9,823.46 = 3,932.00 : x
  2. Step 2: Convert to fraction form
    7,118.49/9,823.46 = 3,932.00/x
  3. Step 3: Cross multiply
    7,118.49x = 9,823.46 × 3,932.00
  4. Step 4: Simplify right side
    7,118.49x = 38,625,775.94
  5. Step 5: Solve for x
    x = 38,625,775.94/7,118.49
  6. Step 6: Final answer
    x = 5,426.12

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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.