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Finding the Fourth Proportional to 6,526.40, 9,004.24 and 4,169.92

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Solution

The fourth proportional to 6,526.40, 9,004.24 and 4,169.92 is: 5,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.40 : 9,004.24 = 4,169.92 : x
  2. Step 2: Convert to fraction form
    6,526.40/9,004.24 = 4,169.92/x
  3. Step 3: Cross multiply
    6,526.40x = 9,004.24 × 4,169.92
  4. Step 4: Simplify right side
    6,526.40x = 37,546,960.46
  5. Step 5: Solve for x
    x = 37,546,960.46/6,526.40
  6. Step 6: Final answer
    x = 5,753.09

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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.