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Finding the Fourth Proportional to 9,271.13, 12,793.68 and 5,238

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Solution

The fourth proportional to 9,271.13, 12,793.68 and 5,238 is: 7,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.13 : 12,793.68 = 5,238 : x
  2. Step 2: Convert to fraction form
    9,271.13/12,793.68 = 5,238/x
  3. Step 3: Cross multiply
    9,271.13x = 12,793.68 × 5,238
  4. Step 4: Simplify right side
    9,271.13x = 67,013,295.84
  5. Step 5: Solve for x
    x = 67,013,295.84/9,271.13
  6. Step 6: Final answer
    x = 7,228.17

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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.