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Finding the Fourth Proportional to 9,731.98, 13,436.09 and 6,332.22

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Solution

The fourth proportional to 9,731.98, 13,436.09 and 6,332.22 is: 8,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.98 : 13,436.09 = 6,332.22 : x
  2. Step 2: Convert to fraction form
    9,731.98/13,436.09 = 6,332.22/x
  3. Step 3: Cross multiply
    9,731.98x = 13,436.09 × 6,332.22
  4. Step 4: Simplify right side
    9,731.98x = 85,080,277.82
  5. Step 5: Solve for x
    x = 85,080,277.82/9,731.98
  6. Step 6: Final answer
    x = 8,742.34

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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.