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Finding the Fourth Proportional to 7,050.97, 9,730.21 and 3,864.23

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Solution

The fourth proportional to 7,050.97, 9,730.21 and 3,864.23 is: 5,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.97 : 9,730.21 = 3,864.23 : x
  2. Step 2: Convert to fraction form
    7,050.97/9,730.21 = 3,864.23/x
  3. Step 3: Cross multiply
    7,050.97x = 9,730.21 × 3,864.23
  4. Step 4: Simplify right side
    7,050.97x = 37,599,769.39
  5. Step 5: Solve for x
    x = 37,599,769.39/7,050.97
  6. Step 6: Final answer
    x = 5,332.57

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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.