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Finding the Fourth Proportional to 7,008.36, 9,671.64 and 3,864.48

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Solution

The fourth proportional to 7,008.36, 9,671.64 and 3,864.48 is: 5,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.36 : 9,671.64 = 3,864.48 : x
  2. Step 2: Convert to fraction form
    7,008.36/9,671.64 = 3,864.48/x
  3. Step 3: Cross multiply
    7,008.36x = 9,671.64 × 3,864.48
  4. Step 4: Simplify right side
    7,008.36x = 37,375,859.35
  5. Step 5: Solve for x
    x = 37,375,859.35/7,008.36
  6. Step 6: Final answer
    x = 5,333.04

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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.