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Finding the Fourth Proportional to 6,364.81, 9,549.65 and 3,594.61

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Solution

The fourth proportional to 6,364.81, 9,549.65 and 3,594.61 is: 5,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.81 : 9,549.65 = 3,594.61 : x
  2. Step 2: Convert to fraction form
    6,364.81/9,549.65 = 3,594.61/x
  3. Step 3: Cross multiply
    6,364.81x = 9,549.65 × 3,594.61
  4. Step 4: Simplify right side
    6,364.81x = 34,327,267.39
  5. Step 5: Solve for x
    x = 34,327,267.39/6,364.81
  6. Step 6: Final answer
    x = 5,393.29

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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.