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Finding the Fourth Proportional to 7,065.43, 9,744.86 and 5,176.33

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Solution

The fourth proportional to 7,065.43, 9,744.86 and 5,176.33 is: 7,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.43 : 9,744.86 = 5,176.33 : x
  2. Step 2: Convert to fraction form
    7,065.43/9,744.86 = 5,176.33/x
  3. Step 3: Cross multiply
    7,065.43x = 9,744.86 × 5,176.33
  4. Step 4: Simplify right side
    7,065.43x = 50,442,599.74
  5. Step 5: Solve for x
    x = 50,442,599.74/7,065.43
  6. Step 6: Final answer
    x = 7,139.36

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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.