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Finding the Fourth Proportional to 9,730.26, 13,432.23 and 6,373.22

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Solution

The fourth proportional to 9,730.26, 13,432.23 and 6,373.22 is: 8,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.26 : 13,432.23 = 6,373.22 : x
  2. Step 2: Convert to fraction form
    9,730.26/13,432.23 = 6,373.22/x
  3. Step 3: Cross multiply
    9,730.26x = 13,432.23 × 6,373.22
  4. Step 4: Simplify right side
    9,730.26x = 85,606,489.72
  5. Step 5: Solve for x
    x = 85,606,489.72/9,730.26
  6. Step 6: Final answer
    x = 8,797.97

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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.