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Finding the Fourth Proportional to 7,118.04, 9,822.96 and 4,134

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Solution

The fourth proportional to 7,118.04, 9,822.96 and 4,134 is: 5,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.04 : 9,822.96 = 4,134 : x
  2. Step 2: Convert to fraction form
    7,118.04/9,822.96 = 4,134/x
  3. Step 3: Cross multiply
    7,118.04x = 9,822.96 × 4,134
  4. Step 4: Simplify right side
    7,118.04x = 40,608,116.64
  5. Step 5: Solve for x
    x = 40,608,116.64/7,118.04
  6. Step 6: Final answer
    x = 5,704.96

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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.