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Finding the Fourth Proportional to 9,679.02, 14,519.34 and 3,440.40

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Solution

The fourth proportional to 9,679.02, 14,519.34 and 3,440.40 is: 5,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.02 : 14,519.34 = 3,440.40 : x
  2. Step 2: Convert to fraction form
    9,679.02/14,519.34 = 3,440.40/x
  3. Step 3: Cross multiply
    9,679.02x = 14,519.34 × 3,440.40
  4. Step 4: Simplify right side
    9,679.02x = 49,952,337.34
  5. Step 5: Solve for x
    x = 49,952,337.34/9,679.02
  6. Step 6: Final answer
    x = 5,160.89

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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.