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Finding the Fourth Proportional to 9,211.10, 12,703.02 and 7,797.86

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Solution

The fourth proportional to 9,211.10, 12,703.02 and 7,797.86 is: 10,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.10 : 12,703.02 = 7,797.86 : x
  2. Step 2: Convert to fraction form
    9,211.10/12,703.02 = 7,797.86/x
  3. Step 3: Cross multiply
    9,211.10x = 12,703.02 × 7,797.86
  4. Step 4: Simplify right side
    9,211.10x = 99,056,371.54
  5. Step 5: Solve for x
    x = 99,056,371.54/9,211.10
  6. Step 6: Final answer
    x = 10,754.02

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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.