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Finding the Fourth Proportional to 9,768.30, 14,653.13 and 3,924.91

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Solution

The fourth proportional to 9,768.30, 14,653.13 and 3,924.91 is: 5,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.30 : 14,653.13 = 3,924.91 : x
  2. Step 2: Convert to fraction form
    9,768.30/14,653.13 = 3,924.91/x
  3. Step 3: Cross multiply
    9,768.30x = 14,653.13 × 3,924.91
  4. Step 4: Simplify right side
    9,768.30x = 57,512,216.47
  5. Step 5: Solve for x
    x = 57,512,216.47/9,768.30
  6. Step 6: Final answer
    x = 5,887.64

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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.