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Finding the Fourth Proportional to 6,612.13, 9,124.74 and 3,817.63

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Solution

The fourth proportional to 6,612.13, 9,124.74 and 3,817.63 is: 5,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612.13 : 9,124.74 = 3,817.63 : x
  2. Step 2: Convert to fraction form
    6,612.13/9,124.74 = 3,817.63/x
  3. Step 3: Cross multiply
    6,612.13x = 9,124.74 × 3,817.63
  4. Step 4: Simplify right side
    6,612.13x = 34,834,881.17
  5. Step 5: Solve for x
    x = 34,834,881.17/6,612.13
  6. Step 6: Final answer
    x = 5,268.33

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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.