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Finding the Fourth Proportional to 9,444.64, 14,223.19 and 8,226.76

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Solution

The fourth proportional to 9,444.64, 14,223.19 and 8,226.76 is: 12,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.64 : 14,223.19 = 8,226.76 : x
  2. Step 2: Convert to fraction form
    9,444.64/14,223.19 = 8,226.76/x
  3. Step 3: Cross multiply
    9,444.64x = 14,223.19 × 8,226.76
  4. Step 4: Simplify right side
    9,444.64x = 117,010,770.56
  5. Step 5: Solve for x
    x = 117,010,770.56/9,444.64
  6. Step 6: Final answer
    x = 12,389.12

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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.