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Finding the Fourth Proportional to 9,600.93, 14,376.69 and 7,717.95

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Solution

The fourth proportional to 9,600.93, 14,376.69 and 7,717.95 is: 11,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.93 : 14,376.69 = 7,717.95 : x
  2. Step 2: Convert to fraction form
    9,600.93/14,376.69 = 7,717.95/x
  3. Step 3: Cross multiply
    9,600.93x = 14,376.69 × 7,717.95
  4. Step 4: Simplify right side
    9,600.93x = 110,958,574.59
  5. Step 5: Solve for x
    x = 110,958,574.59/9,600.93
  6. Step 6: Final answer
    x = 11,557.07

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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.