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Finding the Fourth Proportional to 7,734.96, 10,674.18 and 6,614.46

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Solution

The fourth proportional to 7,734.96, 10,674.18 and 6,614.46 is: 9,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.96 : 10,674.18 = 6,614.46 : x
  2. Step 2: Convert to fraction form
    7,734.96/10,674.18 = 6,614.46/x
  3. Step 3: Cross multiply
    7,734.96x = 10,674.18 × 6,614.46
  4. Step 4: Simplify right side
    7,734.96x = 70,603,936.64
  5. Step 5: Solve for x
    x = 70,603,936.64/7,734.96
  6. Step 6: Final answer
    x = 9,127.90

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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.