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Finding the Fourth Proportional to 7,007.82, 9,671.00 and 3,864.21

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Solution

The fourth proportional to 7,007.82, 9,671.00 and 3,864.21 is: 5,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.82 : 9,671.00 = 3,864.21 : x
  2. Step 2: Convert to fraction form
    7,007.82/9,671.00 = 3,864.21/x
  3. Step 3: Cross multiply
    7,007.82x = 9,671.00 × 3,864.21
  4. Step 4: Simplify right side
    7,007.82x = 37,370,755.59
  5. Step 5: Solve for x
    x = 37,370,755.59/7,007.82
  6. Step 6: Final answer
    x = 5,332.72

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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.