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Finding the Fourth Proportional to 9,954.77, 14,932.35 and 2,559.27

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Solution

The fourth proportional to 9,954.77, 14,932.35 and 2,559.27 is: 3,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.77 : 14,932.35 = 2,559.27 : x
  2. Step 2: Convert to fraction form
    9,954.77/14,932.35 = 2,559.27/x
  3. Step 3: Cross multiply
    9,954.77x = 14,932.35 × 2,559.27
  4. Step 4: Simplify right side
    9,954.77x = 38,215,915.38
  5. Step 5: Solve for x
    x = 38,215,915.38/9,954.77
  6. Step 6: Final answer
    x = 3,838.96

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Why These Related Problems?

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