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Finding the Fourth Proportional to 9,444.08, 14,169 and 6,817.52

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Solution

The fourth proportional to 9,444.08, 14,169 and 6,817.52 is: 10,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.08 : 14,169 = 6,817.52 : x
  2. Step 2: Convert to fraction form
    9,444.08/14,169 = 6,817.52/x
  3. Step 3: Cross multiply
    9,444.08x = 14,169 × 6,817.52
  4. Step 4: Simplify right side
    9,444.08x = 96,597,440.88
  5. Step 5: Solve for x
    x = 96,597,440.88/9,444.08
  6. Step 6: Final answer
    x = 10,228.36

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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.