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Finding the Fourth Proportional to 10,193.64, 14,058.02 and 6,604.96

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Solution

The fourth proportional to 10,193.64, 14,058.02 and 6,604.96 is: 9,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.64 : 14,058.02 = 6,604.96 : x
  2. Step 2: Convert to fraction form
    10,193.64/14,058.02 = 6,604.96/x
  3. Step 3: Cross multiply
    10,193.64x = 14,058.02 × 6,604.96
  4. Step 4: Simplify right side
    10,193.64x = 92,852,659.78
  5. Step 5: Solve for x
    x = 92,852,659.78/10,193.64
  6. Step 6: Final answer
    x = 9,108.88

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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.