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Finding the Fourth Proportional to 6,817.84, 9,406.20 and 4,461.36

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Solution

The fourth proportional to 6,817.84, 9,406.20 and 4,461.36 is: 6,155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.84 : 9,406.20 = 4,461.36 : x
  2. Step 2: Convert to fraction form
    6,817.84/9,406.20 = 4,461.36/x
  3. Step 3: Cross multiply
    6,817.84x = 9,406.20 × 4,461.36
  4. Step 4: Simplify right side
    6,817.84x = 41,964,444.43
  5. Step 5: Solve for x
    x = 41,964,444.43/6,817.84
  6. Step 6: Final answer
    x = 6,155.09

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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.