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Finding the Fourth Proportional to 9,596.35, 13,231.65 and 6,572.94

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Solution

The fourth proportional to 9,596.35, 13,231.65 and 6,572.94 is: 9,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.35 : 13,231.65 = 6,572.94 : x
  2. Step 2: Convert to fraction form
    9,596.35/13,231.65 = 6,572.94/x
  3. Step 3: Cross multiply
    9,596.35x = 13,231.65 × 6,572.94
  4. Step 4: Simplify right side
    9,596.35x = 86,970,742.53
  5. Step 5: Solve for x
    x = 86,970,742.53/9,596.35
  6. Step 6: Final answer
    x = 9,062.90

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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.