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Finding the Fourth Proportional to 9,697.79, 14,545.87 and 3,852.83

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Solution

The fourth proportional to 9,697.79, 14,545.87 and 3,852.83 is: 5,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.79 : 14,545.87 = 3,852.83 : x
  2. Step 2: Convert to fraction form
    9,697.79/14,545.87 = 3,852.83/x
  3. Step 3: Cross multiply
    9,697.79x = 14,545.87 × 3,852.83
  4. Step 4: Simplify right side
    9,697.79x = 56,042,791.04
  5. Step 5: Solve for x
    x = 56,042,791.04/9,697.79
  6. Step 6: Final answer
    x = 5,778.92

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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.