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Finding the Fourth Proportional to 7,131.50, 9,845.80 and 4,651.82

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Solution

The fourth proportional to 7,131.50, 9,845.80 and 4,651.82 is: 6,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.50 : 9,845.80 = 4,651.82 : x
  2. Step 2: Convert to fraction form
    7,131.50/9,845.80 = 4,651.82/x
  3. Step 3: Cross multiply
    7,131.50x = 9,845.80 × 4,651.82
  4. Step 4: Simplify right side
    7,131.50x = 45,800,889.36
  5. Step 5: Solve for x
    x = 45,800,889.36/7,131.50
  6. Step 6: Final answer
    x = 6,422.34

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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.