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Finding the Fourth Proportional to 9,190.29, 12,689.75 and 7,062.47

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Solution

The fourth proportional to 9,190.29, 12,689.75 and 7,062.47 is: 9,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.29 : 12,689.75 = 7,062.47 : x
  2. Step 2: Convert to fraction form
    9,190.29/12,689.75 = 7,062.47/x
  3. Step 3: Cross multiply
    9,190.29x = 12,689.75 × 7,062.47
  4. Step 4: Simplify right side
    9,190.29x = 89,620,978.68
  5. Step 5: Solve for x
    x = 89,620,978.68/9,190.29
  6. Step 6: Final answer
    x = 9,751.70

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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.