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Finding the Fourth Proportional to 9,886.54, 13,638.70 and 6,108.34

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Solution

The fourth proportional to 9,886.54, 13,638.70 and 6,108.34 is: 8,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.54 : 13,638.70 = 6,108.34 : x
  2. Step 2: Convert to fraction form
    9,886.54/13,638.70 = 6,108.34/x
  3. Step 3: Cross multiply
    9,886.54x = 13,638.70 × 6,108.34
  4. Step 4: Simplify right side
    9,886.54x = 83,309,816.76
  5. Step 5: Solve for x
    x = 83,309,816.76/9,886.54
  6. Step 6: Final answer
    x = 8,426.59

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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.