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Finding the Fourth Proportional to 9,551.64, 14,327.38 and 5,196.77

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Solution

The fourth proportional to 9,551.64, 14,327.38 and 5,196.77 is: 7,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.64 : 14,327.38 = 5,196.77 : x
  2. Step 2: Convert to fraction form
    9,551.64/14,327.38 = 5,196.77/x
  3. Step 3: Cross multiply
    9,551.64x = 14,327.38 × 5,196.77
  4. Step 4: Simplify right side
    9,551.64x = 74,456,098.56
  5. Step 5: Solve for x
    x = 74,456,098.56/9,551.64
  6. Step 6: Final answer
    x = 7,795.11

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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.