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Finding the Fourth Proportional to 6,108.63, 8,429.90 and 3,314.13

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Solution

The fourth proportional to 6,108.63, 8,429.90 and 3,314.13 is: 4,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.63 : 8,429.90 = 3,314.13 : x
  2. Step 2: Convert to fraction form
    6,108.63/8,429.90 = 3,314.13/x
  3. Step 3: Cross multiply
    6,108.63x = 8,429.90 × 3,314.13
  4. Step 4: Simplify right side
    6,108.63x = 27,937,784.49
  5. Step 5: Solve for x
    x = 27,937,784.49/6,108.63
  6. Step 6: Final answer
    x = 4,573.49

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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.