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Finding the Fourth Proportional to 6,191.60, 9,288.90 and 1,809.20

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Solution

The fourth proportional to 6,191.60, 9,288.90 and 1,809.20 is: 2,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.60 : 9,288.90 = 1,809.20 : x
  2. Step 2: Convert to fraction form
    6,191.60/9,288.90 = 1,809.20/x
  3. Step 3: Cross multiply
    6,191.60x = 9,288.90 × 1,809.20
  4. Step 4: Simplify right side
    6,191.60x = 16,805,477.88
  5. Step 5: Solve for x
    x = 16,805,477.88/6,191.60
  6. Step 6: Final answer
    x = 2,714.24

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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.