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Finding the Fourth Proportional to 6,869.62, 9,475.57 and 5,451.06

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Solution

The fourth proportional to 6,869.62, 9,475.57 and 5,451.06 is: 7,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.62 : 9,475.57 = 5,451.06 : x
  2. Step 2: Convert to fraction form
    6,869.62/9,475.57 = 5,451.06/x
  3. Step 3: Cross multiply
    6,869.62x = 9,475.57 × 5,451.06
  4. Step 4: Simplify right side
    6,869.62x = 51,651,886.98
  5. Step 5: Solve for x
    x = 51,651,886.98/6,869.62
  6. Step 6: Final answer
    x = 7,518.88

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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.