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Finding the Fourth Proportional to 6,820.69, 9,406.30 and 4,428.19

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Solution

The fourth proportional to 6,820.69, 9,406.30 and 4,428.19 is: 6,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.69 : 9,406.30 = 4,428.19 : x
  2. Step 2: Convert to fraction form
    6,820.69/9,406.30 = 4,428.19/x
  3. Step 3: Cross multiply
    6,820.69x = 9,406.30 × 4,428.19
  4. Step 4: Simplify right side
    6,820.69x = 41,652,883.60
  5. Step 5: Solve for x
    x = 41,652,883.60/6,820.69
  6. Step 6: Final answer
    x = 6,106.84

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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.