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Finding the Fourth Proportional to 9,910.34, 14,857.55 and 6,782.66

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Solution

The fourth proportional to 9,910.34, 14,857.55 and 6,782.66 is: 10,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.34 : 14,857.55 = 6,782.66 : x
  2. Step 2: Convert to fraction form
    9,910.34/14,857.55 = 6,782.66/x
  3. Step 3: Cross multiply
    9,910.34x = 14,857.55 × 6,782.66
  4. Step 4: Simplify right side
    9,910.34x = 100,773,676.17
  5. Step 5: Solve for x
    x = 100,773,676.17/9,910.34
  6. Step 6: Final answer
    x = 10,168.54

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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.