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Finding the Fourth Proportional to 9,822, 14,720.04 and 5,441.52

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Solution

The fourth proportional to 9,822, 14,720.04 and 5,441.52 is: 8,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822 : 14,720.04 = 5,441.52 : x
  2. Step 2: Convert to fraction form
    9,822/14,720.04 = 5,441.52/x
  3. Step 3: Cross multiply
    9,822x = 14,720.04 × 5,441.52
  4. Step 4: Simplify right side
    9,822x = 80,099,392.06
  5. Step 5: Solve for x
    x = 80,099,392.06/9,822
  6. Step 6: Final answer
    x = 8,155.10

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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.