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Finding the Fourth Proportional to 9,347.46, 14,017.09 and 3,499.97

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Solution

The fourth proportional to 9,347.46, 14,017.09 and 3,499.97 is: 5,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.46 : 14,017.09 = 3,499.97 : x
  2. Step 2: Convert to fraction form
    9,347.46/14,017.09 = 3,499.97/x
  3. Step 3: Cross multiply
    9,347.46x = 14,017.09 × 3,499.97
  4. Step 4: Simplify right side
    9,347.46x = 49,059,394.49
  5. Step 5: Solve for x
    x = 49,059,394.49/9,347.46
  6. Step 6: Final answer
    x = 5,248.42

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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.