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Finding the Fourth Proportional to 10,469.34, 15,682.14 and 9,750.06

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Solution

The fourth proportional to 10,469.34, 15,682.14 and 9,750.06 is: 14,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.34 : 15,682.14 = 9,750.06 : x
  2. Step 2: Convert to fraction form
    10,469.34/15,682.14 = 9,750.06/x
  3. Step 3: Cross multiply
    10,469.34x = 15,682.14 × 9,750.06
  4. Step 4: Simplify right side
    10,469.34x = 152,901,805.93
  5. Step 5: Solve for x
    x = 152,901,805.93/10,469.34
  6. Step 6: Final answer
    x = 14,604.72

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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.