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Finding the Fourth Proportional to 6,724.26, 9,274.23 and 4,601.06

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Solution

The fourth proportional to 6,724.26, 9,274.23 and 4,601.06 is: 6,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.26 : 9,274.23 = 4,601.06 : x
  2. Step 2: Convert to fraction form
    6,724.26/9,274.23 = 4,601.06/x
  3. Step 3: Cross multiply
    6,724.26x = 9,274.23 × 4,601.06
  4. Step 4: Simplify right side
    6,724.26x = 42,671,242.31
  5. Step 5: Solve for x
    x = 42,671,242.31/6,724.26
  6. Step 6: Final answer
    x = 6,345.86

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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.