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Finding the Fourth Proportional to 9,463.69, 14,195.33 and 2,347.84

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Solution

The fourth proportional to 9,463.69, 14,195.33 and 2,347.84 is: 3,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.69 : 14,195.33 = 2,347.84 : x
  2. Step 2: Convert to fraction form
    9,463.69/14,195.33 = 2,347.84/x
  3. Step 3: Cross multiply
    9,463.69x = 14,195.33 × 2,347.84
  4. Step 4: Simplify right side
    9,463.69x = 33,328,363.59
  5. Step 5: Solve for x
    x = 33,328,363.59/9,463.69
  6. Step 6: Final answer
    x = 3,521.71

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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.