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Finding the Fourth Proportional to 6,597.38, 9,883.65 and 5,129.39

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Solution

The fourth proportional to 6,597.38, 9,883.65 and 5,129.39 is: 7,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.38 : 9,883.65 = 5,129.39 : x
  2. Step 2: Convert to fraction form
    6,597.38/9,883.65 = 5,129.39/x
  3. Step 3: Cross multiply
    6,597.38x = 9,883.65 × 5,129.39
  4. Step 4: Simplify right side
    6,597.38x = 50,697,095.47
  5. Step 5: Solve for x
    x = 50,697,095.47/6,597.38
  6. Step 6: Final answer
    x = 7,684.43

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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.