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Finding the Fourth Proportional to 6,826.49, 9,420.93 and 4,173.13

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Solution

The fourth proportional to 6,826.49, 9,420.93 and 4,173.13 is: 5,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.49 : 9,420.93 = 4,173.13 : x
  2. Step 2: Convert to fraction form
    6,826.49/9,420.93 = 4,173.13/x
  3. Step 3: Cross multiply
    6,826.49x = 9,420.93 × 4,173.13
  4. Step 4: Simplify right side
    6,826.49x = 39,314,697.64
  5. Step 5: Solve for x
    x = 39,314,697.64/6,826.49
  6. Step 6: Final answer
    x = 5,759.14

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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.