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Finding the Fourth Proportional to 9,551.70, 14,327.55 and 6,441.30

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Solution

The fourth proportional to 9,551.70, 14,327.55 and 6,441.30 is: 9,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.70 : 14,327.55 = 6,441.30 : x
  2. Step 2: Convert to fraction form
    9,551.70/14,327.55 = 6,441.30/x
  3. Step 3: Cross multiply
    9,551.70x = 14,327.55 × 6,441.30
  4. Step 4: Simplify right side
    9,551.70x = 92,288,047.82
  5. Step 5: Solve for x
    x = 92,288,047.82/9,551.70
  6. Step 6: Final answer
    x = 9,661.95

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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.