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Finding the Fourth Proportional to 9,247.20, 13,870.80 and 3,091.20

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Solution

The fourth proportional to 9,247.20, 13,870.80 and 3,091.20 is: 4,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.20 : 13,870.80 = 3,091.20 : x
  2. Step 2: Convert to fraction form
    9,247.20/13,870.80 = 3,091.20/x
  3. Step 3: Cross multiply
    9,247.20x = 13,870.80 × 3,091.20
  4. Step 4: Simplify right side
    9,247.20x = 42,877,416.96
  5. Step 5: Solve for x
    x = 42,877,416.96/9,247.20
  6. Step 6: Final answer
    x = 4,636.80

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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.