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Finding the Fourth Proportional to 9,854.87, 13,596.46 and 6,499.34

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Solution

The fourth proportional to 9,854.87, 13,596.46 and 6,499.34 is: 8,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.87 : 13,596.46 = 6,499.34 : x
  2. Step 2: Convert to fraction form
    9,854.87/13,596.46 = 6,499.34/x
  3. Step 3: Cross multiply
    9,854.87x = 13,596.46 × 6,499.34
  4. Step 4: Simplify right side
    9,854.87x = 88,367,983.09
  5. Step 5: Solve for x
    x = 88,367,983.09/9,854.87
  6. Step 6: Final answer
    x = 8,966.94

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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.