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Finding the Fourth Proportional to 9,768.17, 14,652.93 and 3,924.79

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Solution

The fourth proportional to 9,768.17, 14,652.93 and 3,924.79 is: 5,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.17 : 14,652.93 = 3,924.79 : x
  2. Step 2: Convert to fraction form
    9,768.17/14,652.93 = 3,924.79/x
  3. Step 3: Cross multiply
    9,768.17x = 14,652.93 × 3,924.79
  4. Step 4: Simplify right side
    9,768.17x = 57,509,651.22
  5. Step 5: Solve for x
    x = 57,509,651.22/9,768.17
  6. Step 6: Final answer
    x = 5,887.45

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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.