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Finding the Fourth Proportional to 7,834.42, 10,805.22 and 6,888.20

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Solution

The fourth proportional to 7,834.42, 10,805.22 and 6,888.20 is: 9,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.42 : 10,805.22 = 6,888.20 : x
  2. Step 2: Convert to fraction form
    7,834.42/10,805.22 = 6,888.20/x
  3. Step 3: Cross multiply
    7,834.42x = 10,805.22 × 6,888.20
  4. Step 4: Simplify right side
    7,834.42x = 74,428,516.40
  5. Step 5: Solve for x
    x = 74,428,516.40/7,834.42
  6. Step 6: Final answer
    x = 9,500.19

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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.