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Finding the Fourth Proportional to 6,083.30, 9,124.95 and 1,466.30

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Solution

The fourth proportional to 6,083.30, 9,124.95 and 1,466.30 is: 2,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.30 : 9,124.95 = 1,466.30 : x
  2. Step 2: Convert to fraction form
    6,083.30/9,124.95 = 1,466.30/x
  3. Step 3: Cross multiply
    6,083.30x = 9,124.95 × 1,466.30
  4. Step 4: Simplify right side
    6,083.30x = 13,379,891.17
  5. Step 5: Solve for x
    x = 13,379,891.17/6,083.30
  6. Step 6: Final answer
    x = 2,199.45

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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.