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Finding the Fourth Proportional to 6,832.90, 9,420.72 and 4,591.22

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Solution

The fourth proportional to 6,832.90, 9,420.72 and 4,591.22 is: 6,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.90 : 9,420.72 = 4,591.22 : x
  2. Step 2: Convert to fraction form
    6,832.90/9,420.72 = 4,591.22/x
  3. Step 3: Cross multiply
    6,832.90x = 9,420.72 × 4,591.22
  4. Step 4: Simplify right side
    6,832.90x = 43,252,598.08
  5. Step 5: Solve for x
    x = 43,252,598.08/6,832.90
  6. Step 6: Final answer
    x = 6,330.05

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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.