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Finding the Fourth Proportional to 6,596.06, 9,897.34 and 3,086.32

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Solution

The fourth proportional to 6,596.06, 9,897.34 and 3,086.32 is: 4,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.06 : 9,897.34 = 3,086.32 : x
  2. Step 2: Convert to fraction form
    6,596.06/9,897.34 = 3,086.32/x
  3. Step 3: Cross multiply
    6,596.06x = 9,897.34 × 3,086.32
  4. Step 4: Simplify right side
    6,596.06x = 30,546,358.39
  5. Step 5: Solve for x
    x = 30,546,358.39/6,596.06
  6. Step 6: Final answer
    x = 4,631.00

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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.