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Finding the Fourth Proportional to 9,403.65, 14,084.67 and 3,840.13

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Solution

The fourth proportional to 9,403.65, 14,084.67 and 3,840.13 is: 5,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.65 : 14,084.67 = 3,840.13 : x
  2. Step 2: Convert to fraction form
    9,403.65/14,084.67 = 3,840.13/x
  3. Step 3: Cross multiply
    9,403.65x = 14,084.67 × 3,840.13
  4. Step 4: Simplify right side
    9,403.65x = 54,086,916.59
  5. Step 5: Solve for x
    x = 54,086,916.59/9,403.65
  6. Step 6: Final answer
    x = 5,751.69

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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.