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Finding the Fourth Proportional to 7,078.46, 9,768.03 and 3,934.58

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Solution

The fourth proportional to 7,078.46, 9,768.03 and 3,934.58 is: 5,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.46 : 9,768.03 = 3,934.58 : x
  2. Step 2: Convert to fraction form
    7,078.46/9,768.03 = 3,934.58/x
  3. Step 3: Cross multiply
    7,078.46x = 9,768.03 × 3,934.58
  4. Step 4: Simplify right side
    7,078.46x = 38,433,095.48
  5. Step 5: Solve for x
    x = 38,433,095.48/7,078.46
  6. Step 6: Final answer
    x = 5,429.58

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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.