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Finding the Fourth Proportional to 6,242.64, 8,614.74 and 3,409.94

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Solution

The fourth proportional to 6,242.64, 8,614.74 and 3,409.94 is: 4,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.64 : 8,614.74 = 3,409.94 : x
  2. Step 2: Convert to fraction form
    6,242.64/8,614.74 = 3,409.94/x
  3. Step 3: Cross multiply
    6,242.64x = 8,614.74 × 3,409.94
  4. Step 4: Simplify right side
    6,242.64x = 29,375,746.52
  5. Step 5: Solve for x
    x = 29,375,746.52/6,242.64
  6. Step 6: Final answer
    x = 4,705.66

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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.