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Finding the Fourth Proportional to 6,364.89, 9,551.79 and 4,288.86

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Solution

The fourth proportional to 6,364.89, 9,551.79 and 4,288.86 is: 6,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.89 : 9,551.79 = 4,288.86 : x
  2. Step 2: Convert to fraction form
    6,364.89/9,551.79 = 4,288.86/x
  3. Step 3: Cross multiply
    6,364.89x = 9,551.79 × 4,288.86
  4. Step 4: Simplify right side
    6,364.89x = 40,966,290.06
  5. Step 5: Solve for x
    x = 40,966,290.06/6,364.89
  6. Step 6: Final answer
    x = 6,436.29

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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.