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Finding the Fourth Proportional to 6,841.63, 9,440.89 and 4,008.63

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Solution

The fourth proportional to 6,841.63, 9,440.89 and 4,008.63 is: 5,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.63 : 9,440.89 = 4,008.63 : x
  2. Step 2: Convert to fraction form
    6,841.63/9,440.89 = 4,008.63/x
  3. Step 3: Cross multiply
    6,841.63x = 9,440.89 × 4,008.63
  4. Step 4: Simplify right side
    6,841.63x = 37,845,024.86
  5. Step 5: Solve for x
    x = 37,845,024.86/6,841.63
  6. Step 6: Final answer
    x = 5,531.58

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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.