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Finding the Fourth Proportional to 9,551, 14,333.86 and 5,394.72

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Solution

The fourth proportional to 9,551, 14,333.86 and 5,394.72 is: 8,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551 : 14,333.86 = 5,394.72 : x
  2. Step 2: Convert to fraction form
    9,551/14,333.86 = 5,394.72/x
  3. Step 3: Cross multiply
    9,551x = 14,333.86 × 5,394.72
  4. Step 4: Simplify right side
    9,551x = 77,327,161.22
  5. Step 5: Solve for x
    x = 77,327,161.22/9,551
  6. Step 6: Final answer
    x = 8,096.24

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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.