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Finding the Fourth Proportional to 9,270.84, 12,793.92 and 5,291.76

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Solution

The fourth proportional to 9,270.84, 12,793.92 and 5,291.76 is: 7,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.84 : 12,793.92 = 5,291.76 : x
  2. Step 2: Convert to fraction form
    9,270.84/12,793.92 = 5,291.76/x
  3. Step 3: Cross multiply
    9,270.84x = 12,793.92 × 5,291.76
  4. Step 4: Simplify right side
    9,270.84x = 67,702,354.10
  5. Step 5: Solve for x
    x = 67,702,354.10/9,270.84
  6. Step 6: Final answer
    x = 7,302.72

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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.