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Finding the Fourth Proportional to 6,827.30, 9,420.41 and 3,842.50

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Solution

The fourth proportional to 6,827.30, 9,420.41 and 3,842.50 is: 5,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.30 : 9,420.41 = 3,842.50 : x
  2. Step 2: Convert to fraction form
    6,827.30/9,420.41 = 3,842.50/x
  3. Step 3: Cross multiply
    6,827.30x = 9,420.41 × 3,842.50
  4. Step 4: Simplify right side
    6,827.30x = 36,197,925.43
  5. Step 5: Solve for x
    x = 36,197,925.43/6,827.30
  6. Step 6: Final answer
    x = 5,301.94

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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.