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Finding the Fourth Proportional to 7,192.59, 9,923.40 and 4,206.31

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Solution

The fourth proportional to 7,192.59, 9,923.40 and 4,206.31 is: 5,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.59 : 9,923.40 = 4,206.31 : x
  2. Step 2: Convert to fraction form
    7,192.59/9,923.40 = 4,206.31/x
  3. Step 3: Cross multiply
    7,192.59x = 9,923.40 × 4,206.31
  4. Step 4: Simplify right side
    7,192.59x = 41,740,896.65
  5. Step 5: Solve for x
    x = 41,740,896.65/7,192.59
  6. Step 6: Final answer
    x = 5,803.32

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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.