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Finding the Fourth Proportional to 7,118.74, 9,822.18 and 4,132.84

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Solution

The fourth proportional to 7,118.74, 9,822.18 and 4,132.84 is: 5,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.74 : 9,822.18 = 4,132.84 : x
  2. Step 2: Convert to fraction form
    7,118.74/9,822.18 = 4,132.84/x
  3. Step 3: Cross multiply
    7,118.74x = 9,822.18 × 4,132.84
  4. Step 4: Simplify right side
    7,118.74x = 40,593,498.39
  5. Step 5: Solve for x
    x = 40,593,498.39/7,118.74
  6. Step 6: Final answer
    x = 5,702.34

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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.