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Finding the Fourth Proportional to 6,972.93, 9,614.03 and 4,982.76

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Solution

The fourth proportional to 6,972.93, 9,614.03 and 4,982.76 is: 6,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.93 : 9,614.03 = 4,982.76 : x
  2. Step 2: Convert to fraction form
    6,972.93/9,614.03 = 4,982.76/x
  3. Step 3: Cross multiply
    6,972.93x = 9,614.03 × 4,982.76
  4. Step 4: Simplify right side
    6,972.93x = 47,904,379.21
  5. Step 5: Solve for x
    x = 47,904,379.21/6,972.93
  6. Step 6: Final answer
    x = 6,870.05

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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.