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Finding the Fourth Proportional to 6,992.76, 10,489.14 and 6,299.40

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Solution

The fourth proportional to 6,992.76, 10,489.14 and 6,299.40 is: 9,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.76 : 10,489.14 = 6,299.40 : x
  2. Step 2: Convert to fraction form
    6,992.76/10,489.14 = 6,299.40/x
  3. Step 3: Cross multiply
    6,992.76x = 10,489.14 × 6,299.40
  4. Step 4: Simplify right side
    6,992.76x = 66,075,288.52
  5. Step 5: Solve for x
    x = 66,075,288.52/6,992.76
  6. Step 6: Final answer
    x = 9,449.10

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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.