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Finding the Fourth Proportional to 9,188.92, 13,694.98 and 9,174.36

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Solution

The fourth proportional to 9,188.92, 13,694.98 and 9,174.36 is: 13,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.92 : 13,694.98 = 9,174.36 : x
  2. Step 2: Convert to fraction form
    9,188.92/13,694.98 = 9,174.36/x
  3. Step 3: Cross multiply
    9,188.92x = 13,694.98 × 9,174.36
  4. Step 4: Simplify right side
    9,188.92x = 125,642,676.71
  5. Step 5: Solve for x
    x = 125,642,676.71/9,188.92
  6. Step 6: Final answer
    x = 13,673.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.