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Finding the Fourth Proportional to 9,767.81, 14,645.55 and 5,388.32

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Solution

The fourth proportional to 9,767.81, 14,645.55 and 5,388.32 is: 8,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.81 : 14,645.55 = 5,388.32 : x
  2. Step 2: Convert to fraction form
    9,767.81/14,645.55 = 5,388.32/x
  3. Step 3: Cross multiply
    9,767.81x = 14,645.55 × 5,388.32
  4. Step 4: Simplify right side
    9,767.81x = 78,914,909.98
  5. Step 5: Solve for x
    x = 78,914,909.98/9,767.81
  6. Step 6: Final answer
    x = 8,079.08

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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.