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Finding the Fourth Proportional to 6,626.52, 9,142.27 and 4,106.00

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Solution

The fourth proportional to 6,626.52, 9,142.27 and 4,106.00 is: 5,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.52 : 9,142.27 = 4,106.00 : x
  2. Step 2: Convert to fraction form
    6,626.52/9,142.27 = 4,106.00/x
  3. Step 3: Cross multiply
    6,626.52x = 9,142.27 × 4,106.00
  4. Step 4: Simplify right side
    6,626.52x = 37,538,173.21
  5. Step 5: Solve for x
    x = 37,538,173.21/6,626.52
  6. Step 6: Final answer
    x = 5,664.84

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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.