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Finding the Fourth Proportional to 9,468.70, 14,211.15 and 4,211.80

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Solution

The fourth proportional to 9,468.70, 14,211.15 and 4,211.80 is: 6,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.70 : 14,211.15 = 4,211.80 : x
  2. Step 2: Convert to fraction form
    9,468.70/14,211.15 = 4,211.80/x
  3. Step 3: Cross multiply
    9,468.70x = 14,211.15 × 4,211.80
  4. Step 4: Simplify right side
    9,468.70x = 59,854,521.57
  5. Step 5: Solve for x
    x = 59,854,521.57/9,468.70
  6. Step 6: Final answer
    x = 6,321.30

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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.