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Finding the Fourth Proportional to 9,767.79, 14,659.56 and 5,089.23

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Solution

The fourth proportional to 9,767.79, 14,659.56 and 5,089.23 is: 7,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.79 : 14,659.56 = 5,089.23 : x
  2. Step 2: Convert to fraction form
    9,767.79/14,659.56 = 5,089.23/x
  3. Step 3: Cross multiply
    9,767.79x = 14,659.56 × 5,089.23
  4. Step 4: Simplify right side
    9,767.79x = 74,605,872.54
  5. Step 5: Solve for x
    x = 74,605,872.54/9,767.79
  6. Step 6: Final answer
    x = 7,637.95

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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.