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Finding the Fourth Proportional to 9,910.45, 13,672.90 and 5,658.46

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Solution

The fourth proportional to 9,910.45, 13,672.90 and 5,658.46 is: 7,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.45 : 13,672.90 = 5,658.46 : x
  2. Step 2: Convert to fraction form
    9,910.45/13,672.90 = 5,658.46/x
  3. Step 3: Cross multiply
    9,910.45x = 13,672.90 × 5,658.46
  4. Step 4: Simplify right side
    9,910.45x = 77,367,530.62
  5. Step 5: Solve for x
    x = 77,367,530.62/9,910.45
  6. Step 6: Final answer
    x = 7,806.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.