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Finding the Fourth Proportional to 9,486.44, 13,091.49 and 5,237.49

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Solution

The fourth proportional to 9,486.44, 13,091.49 and 5,237.49 is: 7,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.44 : 13,091.49 = 5,237.49 : x
  2. Step 2: Convert to fraction form
    9,486.44/13,091.49 = 5,237.49/x
  3. Step 3: Cross multiply
    9,486.44x = 13,091.49 × 5,237.49
  4. Step 4: Simplify right side
    9,486.44x = 68,566,547.96
  5. Step 5: Solve for x
    x = 68,566,547.96/9,486.44
  6. Step 6: Final answer
    x = 7,227.85

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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.