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Finding the Fourth Proportional to 9,596.21, 14,398.49 and 3,360.70

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Solution

The fourth proportional to 9,596.21, 14,398.49 and 3,360.70 is: 5,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.21 : 14,398.49 = 3,360.70 : x
  2. Step 2: Convert to fraction form
    9,596.21/14,398.49 = 3,360.70/x
  3. Step 3: Cross multiply
    9,596.21x = 14,398.49 × 3,360.70
  4. Step 4: Simplify right side
    9,596.21x = 48,388,916.55
  5. Step 5: Solve for x
    x = 48,388,916.55/9,596.21
  6. Step 6: Final answer
    x = 5,042.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.