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Finding the Fourth Proportional to 9,620.16, 14,438.40 and 3,780.80

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Solution

The fourth proportional to 9,620.16, 14,438.40 and 3,780.80 is: 5,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.16 : 14,438.40 = 3,780.80 : x
  2. Step 2: Convert to fraction form
    9,620.16/14,438.40 = 3,780.80/x
  3. Step 3: Cross multiply
    9,620.16x = 14,438.40 × 3,780.80
  4. Step 4: Simplify right side
    9,620.16x = 54,588,702.72
  5. Step 5: Solve for x
    x = 54,588,702.72/9,620.16
  6. Step 6: Final answer
    x = 5,674.41

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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.