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Finding the Fourth Proportional to 6,406.68, 8,837.85 and 5,213.01

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Solution

The fourth proportional to 6,406.68, 8,837.85 and 5,213.01 is: 7,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.68 : 8,837.85 = 5,213.01 : x
  2. Step 2: Convert to fraction form
    6,406.68/8,837.85 = 5,213.01/x
  3. Step 3: Cross multiply
    6,406.68x = 8,837.85 × 5,213.01
  4. Step 4: Simplify right side
    6,406.68x = 46,071,800.43
  5. Step 5: Solve for x
    x = 46,071,800.43/6,406.68
  6. Step 6: Final answer
    x = 7,191.21

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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.