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Finding the Fourth Proportional to 7,232.09, 9,975.83 and 4,397.49

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Solution

The fourth proportional to 7,232.09, 9,975.83 and 4,397.49 is: 6,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.09 : 9,975.83 = 4,397.49 : x
  2. Step 2: Convert to fraction form
    7,232.09/9,975.83 = 4,397.49/x
  3. Step 3: Cross multiply
    7,232.09x = 9,975.83 × 4,397.49
  4. Step 4: Simplify right side
    7,232.09x = 43,868,590.68
  5. Step 5: Solve for x
    x = 43,868,590.68/7,232.09
  6. Step 6: Final answer
    x = 6,065.83

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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.