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Finding the Fourth Proportional to 6,989.47, 9,648.50 and 4,996.57

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Solution

The fourth proportional to 6,989.47, 9,648.50 and 4,996.57 is: 6,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.47 : 9,648.50 = 4,996.57 : x
  2. Step 2: Convert to fraction form
    6,989.47/9,648.50 = 4,996.57/x
  3. Step 3: Cross multiply
    6,989.47x = 9,648.50 × 4,996.57
  4. Step 4: Simplify right side
    6,989.47x = 48,209,380.66
  5. Step 5: Solve for x
    x = 48,209,380.66/6,989.47
  6. Step 6: Final answer
    x = 6,897.43

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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.