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Finding the Fourth Proportional to 7,078.50, 9,768.33 and 3,934.76

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Solution

The fourth proportional to 7,078.50, 9,768.33 and 3,934.76 is: 5,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.50 : 9,768.33 = 3,934.76 : x
  2. Step 2: Convert to fraction form
    7,078.50/9,768.33 = 3,934.76/x
  3. Step 3: Cross multiply
    7,078.50x = 9,768.33 × 3,934.76
  4. Step 4: Simplify right side
    7,078.50x = 38,435,985.31
  5. Step 5: Solve for x
    x = 38,435,985.31/7,078.50
  6. Step 6: Final answer
    x = 5,429.96

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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.