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Finding the Fourth Proportional to 9,884.33, 13,640.05 and 5,903.08

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Solution

The fourth proportional to 9,884.33, 13,640.05 and 5,903.08 is: 8,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.33 : 13,640.05 = 5,903.08 : x
  2. Step 2: Convert to fraction form
    9,884.33/13,640.05 = 5,903.08/x
  3. Step 3: Cross multiply
    9,884.33x = 13,640.05 × 5,903.08
  4. Step 4: Simplify right side
    9,884.33x = 80,518,246.43
  5. Step 5: Solve for x
    x = 80,518,246.43/9,884.33
  6. Step 6: Final answer
    x = 8,146.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.