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Finding the Fourth Proportional to 9,444.12, 14,221.07 and 6,996.30

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Solution

The fourth proportional to 9,444.12, 14,221.07 and 6,996.30 is: 10,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.12 : 14,221.07 = 6,996.30 : x
  2. Step 2: Convert to fraction form
    9,444.12/14,221.07 = 6,996.30/x
  3. Step 3: Cross multiply
    9,444.12x = 14,221.07 × 6,996.30
  4. Step 4: Simplify right side
    9,444.12x = 99,494,837.06
  5. Step 5: Solve for x
    x = 99,494,837.06/9,444.12
  6. Step 6: Final answer
    x = 10,535.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.