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Finding the Fourth Proportional to 6,083.64, 9,129.65 and 2,385.86

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Solution

The fourth proportional to 6,083.64, 9,129.65 and 2,385.86 is: 3,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.64 : 9,129.65 = 2,385.86 : x
  2. Step 2: Convert to fraction form
    6,083.64/9,129.65 = 2,385.86/x
  3. Step 3: Cross multiply
    6,083.64x = 9,129.65 × 2,385.86
  4. Step 4: Simplify right side
    6,083.64x = 21,782,009.17
  5. Step 5: Solve for x
    x = 21,782,009.17/6,083.64
  6. Step 6: Final answer
    x = 3,580.42

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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.