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Finding the Fourth Proportional to 9,699.65, 13,384.52 and 5,923.73

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Solution

The fourth proportional to 9,699.65, 13,384.52 and 5,923.73 is: 8,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.65 : 13,384.52 = 5,923.73 : x
  2. Step 2: Convert to fraction form
    9,699.65/13,384.52 = 5,923.73/x
  3. Step 3: Cross multiply
    9,699.65x = 13,384.52 × 5,923.73
  4. Step 4: Simplify right side
    9,699.65x = 79,286,292.06
  5. Step 5: Solve for x
    x = 79,286,292.06/9,699.65
  6. Step 6: Final answer
    x = 8,174.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.