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Finding the Fourth Proportional to 9,596.34, 14,393.25 and 3,355.83

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Solution

The fourth proportional to 9,596.34, 14,393.25 and 3,355.83 is: 5,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.34 : 14,393.25 = 3,355.83 : x
  2. Step 2: Convert to fraction form
    9,596.34/14,393.25 = 3,355.83/x
  3. Step 3: Cross multiply
    9,596.34x = 14,393.25 × 3,355.83
  4. Step 4: Simplify right side
    9,596.34x = 48,301,300.15
  5. Step 5: Solve for x
    x = 48,301,300.15/9,596.34
  6. Step 6: Final answer
    x = 5,033.30

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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.