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Finding the Fourth Proportional to 7,092.34, 9,766.30 and 6,934.99

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Solution

The fourth proportional to 7,092.34, 9,766.30 and 6,934.99 is: 9,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.34 : 9,766.30 = 6,934.99 : x
  2. Step 2: Convert to fraction form
    7,092.34/9,766.30 = 6,934.99/x
  3. Step 3: Cross multiply
    7,092.34x = 9,766.30 × 6,934.99
  4. Step 4: Simplify right side
    7,092.34x = 67,729,158.16
  5. Step 5: Solve for x
    x = 67,729,158.16/7,092.34
  6. Step 6: Final answer
    x = 9,549.62

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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.