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Finding the Fourth Proportional to 10,069.07, 13,902.03 and 6,297.57

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Solution

The fourth proportional to 10,069.07, 13,902.03 and 6,297.57 is: 8,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.07 : 13,902.03 = 6,297.57 : x
  2. Step 2: Convert to fraction form
    10,069.07/13,902.03 = 6,297.57/x
  3. Step 3: Cross multiply
    10,069.07x = 13,902.03 × 6,297.57
  4. Step 4: Simplify right side
    10,069.07x = 87,549,007.07
  5. Step 5: Solve for x
    x = 87,549,007.07/10,069.07
  6. Step 6: Final answer
    x = 8,694.85

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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.