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Finding the Fourth Proportional to 9,647.40, 14,467.51 and 3,320.49

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Solution

The fourth proportional to 9,647.40, 14,467.51 and 3,320.49 is: 4,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.40 : 14,467.51 = 3,320.49 : x
  2. Step 2: Convert to fraction form
    9,647.40/14,467.51 = 3,320.49/x
  3. Step 3: Cross multiply
    9,647.40x = 14,467.51 × 3,320.49
  4. Step 4: Simplify right side
    9,647.40x = 48,039,280.68
  5. Step 5: Solve for x
    x = 48,039,280.68/9,647.40
  6. Step 6: Final answer
    x = 4,979.50

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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.