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Finding the Fourth Proportional to 6,602.87, 9,897.63 and 4,139.41

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Solution

The fourth proportional to 6,602.87, 9,897.63 and 4,139.41 is: 6,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.87 : 9,897.63 = 4,139.41 : x
  2. Step 2: Convert to fraction form
    6,602.87/9,897.63 = 4,139.41/x
  3. Step 3: Cross multiply
    6,602.87x = 9,897.63 × 4,139.41
  4. Step 4: Simplify right side
    6,602.87x = 40,970,348.60
  5. Step 5: Solve for x
    x = 40,970,348.60/6,602.87
  6. Step 6: Final answer
    x = 6,204.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.