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Finding the Fourth Proportional to 7,131.05, 9,834.86 and 5,342.72

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Solution

The fourth proportional to 7,131.05, 9,834.86 and 5,342.72 is: 7,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.05 : 9,834.86 = 5,342.72 : x
  2. Step 2: Convert to fraction form
    7,131.05/9,834.86 = 5,342.72/x
  3. Step 3: Cross multiply
    7,131.05x = 9,834.86 × 5,342.72
  4. Step 4: Simplify right side
    7,131.05x = 52,544,827.33
  5. Step 5: Solve for x
    x = 52,544,827.33/7,131.05
  6. Step 6: Final answer
    x = 7,368.46

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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.