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Finding the Fourth Proportional to 9,497.67, 13,106.70 and 5,249.01

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Solution

The fourth proportional to 9,497.67, 13,106.70 and 5,249.01 is: 7,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.67 : 13,106.70 = 5,249.01 : x
  2. Step 2: Convert to fraction form
    9,497.67/13,106.70 = 5,249.01/x
  3. Step 3: Cross multiply
    9,497.67x = 13,106.70 × 5,249.01
  4. Step 4: Simplify right side
    9,497.67x = 68,797,199.37
  5. Step 5: Solve for x
    x = 68,797,199.37/9,497.67
  6. Step 6: Final answer
    x = 7,243.59

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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.