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Finding the Fourth Proportional to 9,596.21, 14,392.15 and 3,440.21

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Solution

The fourth proportional to 9,596.21, 14,392.15 and 3,440.21 is: 5,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.21 : 14,392.15 = 3,440.21 : x
  2. Step 2: Convert to fraction form
    9,596.21/14,392.15 = 3,440.21/x
  3. Step 3: Cross multiply
    9,596.21x = 14,392.15 × 3,440.21
  4. Step 4: Simplify right side
    9,596.21x = 49,511,937.79
  5. Step 5: Solve for x
    x = 49,511,937.79/9,596.21
  6. Step 6: Final answer
    x = 5,159.53

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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.