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Finding the Fourth Proportional to 7,131.90, 9,840.44 and 4,478.34

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Solution

The fourth proportional to 7,131.90, 9,840.44 and 4,478.34 is: 6,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.90 : 9,840.44 = 4,478.34 : x
  2. Step 2: Convert to fraction form
    7,131.90/9,840.44 = 4,478.34/x
  3. Step 3: Cross multiply
    7,131.90x = 9,840.44 × 4,478.34
  4. Step 4: Simplify right side
    7,131.90x = 44,068,847.27
  5. Step 5: Solve for x
    x = 44,068,847.27/7,131.90
  6. Step 6: Final answer
    x = 6,179.12

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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.