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Finding the Fourth Proportional to 9,663.30, 13,331.06 and 6,305.34

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Solution

The fourth proportional to 9,663.30, 13,331.06 and 6,305.34 is: 8,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.30 : 13,331.06 = 6,305.34 : x
  2. Step 2: Convert to fraction form
    9,663.30/13,331.06 = 6,305.34/x
  3. Step 3: Cross multiply
    9,663.30x = 13,331.06 × 6,305.34
  4. Step 4: Simplify right side
    9,663.30x = 84,056,865.86
  5. Step 5: Solve for x
    x = 84,056,865.86/9,663.30
  6. Step 6: Final answer
    x = 8,698.57

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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.