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Finding the Fourth Proportional to 6,323.23, 9,479.93 and 4,097.35

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Solution

The fourth proportional to 6,323.23, 9,479.93 and 4,097.35 is: 6,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.23 : 9,479.93 = 4,097.35 : x
  2. Step 2: Convert to fraction form
    6,323.23/9,479.93 = 4,097.35/x
  3. Step 3: Cross multiply
    6,323.23x = 9,479.93 × 4,097.35
  4. Step 4: Simplify right side
    6,323.23x = 38,842,608.01
  5. Step 5: Solve for x
    x = 38,842,608.01/6,323.23
  6. Step 6: Final answer
    x = 6,142.85

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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.