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Finding the Fourth Proportional to 6,820.49, 9,409.21 and 4,167.40

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Solution

The fourth proportional to 6,820.49, 9,409.21 and 4,167.40 is: 5,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.49 : 9,409.21 = 4,167.40 : x
  2. Step 2: Convert to fraction form
    6,820.49/9,409.21 = 4,167.40/x
  3. Step 3: Cross multiply
    6,820.49x = 9,409.21 × 4,167.40
  4. Step 4: Simplify right side
    6,820.49x = 39,211,907.81
  5. Step 5: Solve for x
    x = 39,211,907.81/6,820.49
  6. Step 6: Final answer
    x = 5,749.14

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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.