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Finding the Fourth Proportional to 6,364.06, 9,548.52 and 3,593.86

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Solution

The fourth proportional to 6,364.06, 9,548.52 and 3,593.86 is: 5,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.06 : 9,548.52 = 3,593.86 : x
  2. Step 2: Convert to fraction form
    6,364.06/9,548.52 = 3,593.86/x
  3. Step 3: Cross multiply
    6,364.06x = 9,548.52 × 3,593.86
  4. Step 4: Simplify right side
    6,364.06x = 34,316,044.09
  5. Step 5: Solve for x
    x = 34,316,044.09/6,364.06
  6. Step 6: Final answer
    x = 5,392.16

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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.