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Finding the Fourth Proportional to 9,701.88, 14,553.54 and 2,776.92

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Solution

The fourth proportional to 9,701.88, 14,553.54 and 2,776.92 is: 4,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.88 : 14,553.54 = 2,776.92 : x
  2. Step 2: Convert to fraction form
    9,701.88/14,553.54 = 2,776.92/x
  3. Step 3: Cross multiply
    9,701.88x = 14,553.54 × 2,776.92
  4. Step 4: Simplify right side
    9,701.88x = 40,414,016.30
  5. Step 5: Solve for x
    x = 40,414,016.30/9,701.88
  6. Step 6: Final answer
    x = 4,165.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.