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Finding the Fourth Proportional to 9,386.48, 14,091.92 and 6,286.32

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Solution

The fourth proportional to 9,386.48, 14,091.92 and 6,286.32 is: 9,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.48 : 14,091.92 = 6,286.32 : x
  2. Step 2: Convert to fraction form
    9,386.48/14,091.92 = 6,286.32/x
  3. Step 3: Cross multiply
    9,386.48x = 14,091.92 × 6,286.32
  4. Step 4: Simplify right side
    9,386.48x = 88,586,318.53
  5. Step 5: Solve for x
    x = 88,586,318.53/9,386.48
  6. Step 6: Final answer
    x = 9,437.65

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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.