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Finding the Fourth Proportional to 9,158.22, 12,640.77 and 6,326.10

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Solution

The fourth proportional to 9,158.22, 12,640.77 and 6,326.10 is: 8,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.22 : 12,640.77 = 6,326.10 : x
  2. Step 2: Convert to fraction form
    9,158.22/12,640.77 = 6,326.10/x
  3. Step 3: Cross multiply
    9,158.22x = 12,640.77 × 6,326.10
  4. Step 4: Simplify right side
    9,158.22x = 79,966,775.10
  5. Step 5: Solve for x
    x = 79,966,775.10/9,158.22
  6. Step 6: Final answer
    x = 8,731.69

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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.