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Finding the Fourth Proportional to 9,730.98, 13,434.71 and 6,331.22

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Solution

The fourth proportional to 9,730.98, 13,434.71 and 6,331.22 is: 8,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.98 : 13,434.71 = 6,331.22 : x
  2. Step 2: Convert to fraction form
    9,730.98/13,434.71 = 6,331.22/x
  3. Step 3: Cross multiply
    9,730.98x = 13,434.71 × 6,331.22
  4. Step 4: Simplify right side
    9,730.98x = 85,058,072.99
  5. Step 5: Solve for x
    x = 85,058,072.99/9,730.98
  6. Step 6: Final answer
    x = 8,740.96

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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.