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Finding the Fourth Proportional to 7,032.43, 9,704.02 and 4,047.69

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Solution

The fourth proportional to 7,032.43, 9,704.02 and 4,047.69 is: 5,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.43 : 9,704.02 = 4,047.69 : x
  2. Step 2: Convert to fraction form
    7,032.43/9,704.02 = 4,047.69/x
  3. Step 3: Cross multiply
    7,032.43x = 9,704.02 × 4,047.69
  4. Step 4: Simplify right side
    7,032.43x = 39,278,864.71
  5. Step 5: Solve for x
    x = 39,278,864.71/7,032.43
  6. Step 6: Final answer
    x = 5,585.39

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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.