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Finding the Fourth Proportional to 6,322.74, 8,722.67 and 4,641.24

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Solution

The fourth proportional to 6,322.74, 8,722.67 and 4,641.24 is: 6,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.74 : 8,722.67 = 4,641.24 : x
  2. Step 2: Convert to fraction form
    6,322.74/8,722.67 = 4,641.24/x
  3. Step 3: Cross multiply
    6,322.74x = 8,722.67 × 4,641.24
  4. Step 4: Simplify right side
    6,322.74x = 40,484,004.91
  5. Step 5: Solve for x
    x = 40,484,004.91/6,322.74
  6. Step 6: Final answer
    x = 6,402.92

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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.