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Finding the Fourth Proportional to 9,491.32, 14,226.87 and 7,144.07

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Solution

The fourth proportional to 9,491.32, 14,226.87 and 7,144.07 is: 10,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.32 : 14,226.87 = 7,144.07 : x
  2. Step 2: Convert to fraction form
    9,491.32/14,226.87 = 7,144.07/x
  3. Step 3: Cross multiply
    9,491.32x = 14,226.87 × 7,144.07
  4. Step 4: Simplify right side
    9,491.32x = 101,637,648.31
  5. Step 5: Solve for x
    x = 101,637,648.31/9,491.32
  6. Step 6: Final answer
    x = 10,708.48

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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.