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Finding the Fourth Proportional to 7,128.15, 9,834.41 and 4,294.46

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Solution

The fourth proportional to 7,128.15, 9,834.41 and 4,294.46 is: 5,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.15 : 9,834.41 = 4,294.46 : x
  2. Step 2: Convert to fraction form
    7,128.15/9,834.41 = 4,294.46/x
  3. Step 3: Cross multiply
    7,128.15x = 9,834.41 × 4,294.46
  4. Step 4: Simplify right side
    7,128.15x = 42,233,446.54
  5. Step 5: Solve for x
    x = 42,233,446.54/7,128.15
  6. Step 6: Final answer
    x = 5,924.88

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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.