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Finding the Fourth Proportional to 7,191.37, 9,921.77 and 4,357.85

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Solution

The fourth proportional to 7,191.37, 9,921.77 and 4,357.85 is: 6,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.37 : 9,921.77 = 4,357.85 : x
  2. Step 2: Convert to fraction form
    7,191.37/9,921.77 = 4,357.85/x
  3. Step 3: Cross multiply
    7,191.37x = 9,921.77 × 4,357.85
  4. Step 4: Simplify right side
    7,191.37x = 43,237,514.00
  5. Step 5: Solve for x
    x = 43,237,514.00/7,191.37
  6. Step 6: Final answer
    x = 6,012.42

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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.