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Finding the Fourth Proportional to 6,476.04, 9,715.14 and 2,092.98

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Solution

The fourth proportional to 6,476.04, 9,715.14 and 2,092.98 is: 3,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.04 : 9,715.14 = 2,092.98 : x
  2. Step 2: Convert to fraction form
    6,476.04/9,715.14 = 2,092.98/x
  3. Step 3: Cross multiply
    6,476.04x = 9,715.14 × 2,092.98
  4. Step 4: Simplify right side
    6,476.04x = 20,333,593.72
  5. Step 5: Solve for x
    x = 20,333,593.72/6,476.04
  6. Step 6: Final answer
    x = 3,139.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.