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Finding the Fourth Proportional to 6,596.31, 9,894.59 and 3,085.37

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Solution

The fourth proportional to 6,596.31, 9,894.59 and 3,085.37 is: 4,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.31 : 9,894.59 = 3,085.37 : x
  2. Step 2: Convert to fraction form
    6,596.31/9,894.59 = 3,085.37/x
  3. Step 3: Cross multiply
    6,596.31x = 9,894.59 × 3,085.37
  4. Step 4: Simplify right side
    6,596.31x = 30,528,471.15
  5. Step 5: Solve for x
    x = 30,528,471.15/6,596.31
  6. Step 6: Final answer
    x = 4,628.11

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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.