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Finding the Fourth Proportional to 6,259.59, 9,389.37 and 2,099.61

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Solution

The fourth proportional to 6,259.59, 9,389.37 and 2,099.61 is: 3,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.59 : 9,389.37 = 2,099.61 : x
  2. Step 2: Convert to fraction form
    6,259.59/9,389.37 = 2,099.61/x
  3. Step 3: Cross multiply
    6,259.59x = 9,389.37 × 2,099.61
  4. Step 4: Simplify right side
    6,259.59x = 19,714,023.02
  5. Step 5: Solve for x
    x = 19,714,023.02/6,259.59
  6. Step 6: Final answer
    x = 3,149.41

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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.