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Finding the Fourth Proportional to 9,902.30, 14,853.92 and 2,506.82

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Solution

The fourth proportional to 9,902.30, 14,853.92 and 2,506.82 is: 3,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.30 : 14,853.92 = 2,506.82 : x
  2. Step 2: Convert to fraction form
    9,902.30/14,853.92 = 2,506.82/x
  3. Step 3: Cross multiply
    9,902.30x = 14,853.92 × 2,506.82
  4. Step 4: Simplify right side
    9,902.30x = 37,236,016.93
  5. Step 5: Solve for x
    x = 37,236,016.93/9,902.30
  6. Step 6: Final answer
    x = 3,760.34

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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.