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Finding the Fourth Proportional to 9,767.68, 14,653.22 and 3,924.68

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Solution

The fourth proportional to 9,767.68, 14,653.22 and 3,924.68 is: 5,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.68 : 14,653.22 = 3,924.68 : x
  2. Step 2: Convert to fraction form
    9,767.68/14,653.22 = 3,924.68/x
  3. Step 3: Cross multiply
    9,767.68x = 14,653.22 × 3,924.68
  4. Step 4: Simplify right side
    9,767.68x = 57,509,199.47
  5. Step 5: Solve for x
    x = 57,509,199.47/9,767.68
  6. Step 6: Final answer
    x = 5,887.70

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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.