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Finding the Fourth Proportional to 9,588.08, 13,235.64 and 6,446.09

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Solution

The fourth proportional to 9,588.08, 13,235.64 and 6,446.09 is: 8,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.08 : 13,235.64 = 6,446.09 : x
  2. Step 2: Convert to fraction form
    9,588.08/13,235.64 = 6,446.09/x
  3. Step 3: Cross multiply
    9,588.08x = 13,235.64 × 6,446.09
  4. Step 4: Simplify right side
    9,588.08x = 85,318,135.56
  5. Step 5: Solve for x
    x = 85,318,135.56/9,588.08
  6. Step 6: Final answer
    x = 8,898.35

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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.