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Finding the Fourth Proportional to 6,083.86, 9,125.80 and 1,466.86

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Solution

The fourth proportional to 6,083.86, 9,125.80 and 1,466.86 is: 2,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.86 : 9,125.80 = 1,466.86 : x
  2. Step 2: Convert to fraction form
    6,083.86/9,125.80 = 1,466.86/x
  3. Step 3: Cross multiply
    6,083.86x = 9,125.80 × 1,466.86
  4. Step 4: Simplify right side
    6,083.86x = 13,386,261.62
  5. Step 5: Solve for x
    x = 13,386,261.62/6,083.86
  6. Step 6: Final answer
    x = 2,200.29

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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.