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Finding the Fourth Proportional to 9,884.19, 13,640.06 and 5,407.88

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Solution

The fourth proportional to 9,884.19, 13,640.06 and 5,407.88 is: 7,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.19 : 13,640.06 = 5,407.88 : x
  2. Step 2: Convert to fraction form
    9,884.19/13,640.06 = 5,407.88/x
  3. Step 3: Cross multiply
    9,884.19x = 13,640.06 × 5,407.88
  4. Step 4: Simplify right side
    9,884.19x = 73,763,855.29
  5. Step 5: Solve for x
    x = 73,763,855.29/9,884.19
  6. Step 6: Final answer
    x = 7,462.81

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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.