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Finding the Fourth Proportional to 9,551.40, 14,327.10 and 5,653.80

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Solution

The fourth proportional to 9,551.40, 14,327.10 and 5,653.80 is: 8,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.40 : 14,327.10 = 5,653.80 : x
  2. Step 2: Convert to fraction form
    9,551.40/14,327.10 = 5,653.80/x
  3. Step 3: Cross multiply
    9,551.40x = 14,327.10 × 5,653.80
  4. Step 4: Simplify right side
    9,551.40x = 81,002,557.98
  5. Step 5: Solve for x
    x = 81,002,557.98/9,551.40
  6. Step 6: Final answer
    x = 8,480.70

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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.