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Finding the Fourth Proportional to 9,444.02, 14,222.25 and 8,226.14

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Solution

The fourth proportional to 9,444.02, 14,222.25 and 8,226.14 is: 12,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.02 : 14,222.25 = 8,226.14 : x
  2. Step 2: Convert to fraction form
    9,444.02/14,222.25 = 8,226.14/x
  3. Step 3: Cross multiply
    9,444.02x = 14,222.25 × 8,226.14
  4. Step 4: Simplify right side
    9,444.02x = 116,994,148.50
  5. Step 5: Solve for x
    x = 116,994,148.50/9,444.02
  6. Step 6: Final answer
    x = 12,388.18

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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.