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Finding the Fourth Proportional to 9,883.31, 13,638.38 and 5,406.17

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Solution

The fourth proportional to 9,883.31, 13,638.38 and 5,406.17 is: 7,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.31 : 13,638.38 = 5,406.17 : x
  2. Step 2: Convert to fraction form
    9,883.31/13,638.38 = 5,406.17/x
  3. Step 3: Cross multiply
    9,883.31x = 13,638.38 × 5,406.17
  4. Step 4: Simplify right side
    9,883.31x = 73,731,325.85
  5. Step 5: Solve for x
    x = 73,731,325.85/9,883.31
  6. Step 6: Final answer
    x = 7,460.19

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Why These Related Problems?

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