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Finding the Fourth Proportional to 9,386.66, 14,083.10 and 3,149.62

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Solution

The fourth proportional to 9,386.66, 14,083.10 and 3,149.62 is: 4,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.66 : 14,083.10 = 3,149.62 : x
  2. Step 2: Convert to fraction form
    9,386.66/14,083.10 = 3,149.62/x
  3. Step 3: Cross multiply
    9,386.66x = 14,083.10 × 3,149.62
  4. Step 4: Simplify right side
    9,386.66x = 44,356,413.42
  5. Step 5: Solve for x
    x = 44,356,413.42/9,386.66
  6. Step 6: Final answer
    x = 4,725.47

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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.