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Finding the Fourth Proportional to 7,009.05, 9,672.13 and 3,983.77

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Solution

The fourth proportional to 7,009.05, 9,672.13 and 3,983.77 is: 5,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.05 : 9,672.13 = 3,983.77 : x
  2. Step 2: Convert to fraction form
    7,009.05/9,672.13 = 3,983.77/x
  3. Step 3: Cross multiply
    7,009.05x = 9,672.13 × 3,983.77
  4. Step 4: Simplify right side
    7,009.05x = 38,531,541.33
  5. Step 5: Solve for x
    x = 38,531,541.33/7,009.05
  6. Step 6: Final answer
    x = 5,497.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.