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Finding the Fourth Proportional to 9,811.98, 14,717.63 and 4,265.31

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Solution

The fourth proportional to 9,811.98, 14,717.63 and 4,265.31 is: 6,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.98 : 14,717.63 = 4,265.31 : x
  2. Step 2: Convert to fraction form
    9,811.98/14,717.63 = 4,265.31/x
  3. Step 3: Cross multiply
    9,811.98x = 14,717.63 × 4,265.31
  4. Step 4: Simplify right side
    9,811.98x = 62,775,233.09
  5. Step 5: Solve for x
    x = 62,775,233.09/9,811.98
  6. Step 6: Final answer
    x = 6,397.82

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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.