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Finding the Fourth Proportional to 7,125.48, 9,833.04 and 4,142.34

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Solution

The fourth proportional to 7,125.48, 9,833.04 and 4,142.34 is: 5,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.48 : 9,833.04 = 4,142.34 : x
  2. Step 2: Convert to fraction form
    7,125.48/9,833.04 = 4,142.34/x
  3. Step 3: Cross multiply
    7,125.48x = 9,833.04 × 4,142.34
  4. Step 4: Simplify right side
    7,125.48x = 40,731,794.91
  5. Step 5: Solve for x
    x = 40,731,794.91/7,125.48
  6. Step 6: Final answer
    x = 5,716.36

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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.