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Finding the Fourth Proportional to 6,193.32, 9,289.02 and 1,809.88

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Solution

The fourth proportional to 6,193.32, 9,289.02 and 1,809.88 is: 2,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.32 : 9,289.02 = 1,809.88 : x
  2. Step 2: Convert to fraction form
    6,193.32/9,289.02 = 1,809.88/x
  3. Step 3: Cross multiply
    6,193.32x = 9,289.02 × 1,809.88
  4. Step 4: Simplify right side
    6,193.32x = 16,812,011.52
  5. Step 5: Solve for x
    x = 16,812,011.52/6,193.32
  6. Step 6: Final answer
    x = 2,714.54

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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.