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Finding the Fourth Proportional to 9,190.68, 13,747.44 and 7,746.75

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Solution

The fourth proportional to 9,190.68, 13,747.44 and 7,746.75 is: 11,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.68 : 13,747.44 = 7,746.75 : x
  2. Step 2: Convert to fraction form
    9,190.68/13,747.44 = 7,746.75/x
  3. Step 3: Cross multiply
    9,190.68x = 13,747.44 × 7,746.75
  4. Step 4: Simplify right side
    9,190.68x = 106,497,980.82
  5. Step 5: Solve for x
    x = 106,497,980.82/9,190.68
  6. Step 6: Final answer
    x = 11,587.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.