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Finding the Fourth Proportional to 9,663.32, 14,496.04 and 3,087.96

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Solution

The fourth proportional to 9,663.32, 14,496.04 and 3,087.96 is: 4,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.32 : 14,496.04 = 3,087.96 : x
  2. Step 2: Convert to fraction form
    9,663.32/14,496.04 = 3,087.96/x
  3. Step 3: Cross multiply
    9,663.32x = 14,496.04 × 3,087.96
  4. Step 4: Simplify right side
    9,663.32x = 44,763,191.68
  5. Step 5: Solve for x
    x = 44,763,191.68/9,663.32
  6. Step 6: Final answer
    x = 4,632.28

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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.