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Finding the Fourth Proportional to 6,423.84, 8,862.30 and 3,905.01

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Solution

The fourth proportional to 6,423.84, 8,862.30 and 3,905.01 is: 5,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.84 : 8,862.30 = 3,905.01 : x
  2. Step 2: Convert to fraction form
    6,423.84/8,862.30 = 3,905.01/x
  3. Step 3: Cross multiply
    6,423.84x = 8,862.30 × 3,905.01
  4. Step 4: Simplify right side
    6,423.84x = 34,607,370.12
  5. Step 5: Solve for x
    x = 34,607,370.12/6,423.84
  6. Step 6: Final answer
    x = 5,387.33

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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.