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Finding the Fourth Proportional to 9,270.50, 12,793.16 and 5,078.76

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Solution

The fourth proportional to 9,270.50, 12,793.16 and 5,078.76 is: 7,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.50 : 12,793.16 = 5,078.76 : x
  2. Step 2: Convert to fraction form
    9,270.50/12,793.16 = 5,078.76/x
  3. Step 3: Cross multiply
    9,270.50x = 12,793.16 × 5,078.76
  4. Step 4: Simplify right side
    9,270.50x = 64,973,389.28
  5. Step 5: Solve for x
    x = 64,973,389.28/9,270.50
  6. Step 6: Final answer
    x = 7,008.62

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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.