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Finding the Fourth Proportional to 9,658.85, 14,488.27 and 5,273.91

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Solution

The fourth proportional to 9,658.85, 14,488.27 and 5,273.91 is: 7,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.85 : 14,488.27 = 5,273.91 : x
  2. Step 2: Convert to fraction form
    9,658.85/14,488.27 = 5,273.91/x
  3. Step 3: Cross multiply
    9,658.85x = 14,488.27 × 5,273.91
  4. Step 4: Simplify right side
    9,658.85x = 76,409,818.85
  5. Step 5: Solve for x
    x = 76,409,818.85/9,658.85
  6. Step 6: Final answer
    x = 7,910.87

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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.