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Finding the Fourth Proportional to 9,822, 14,733 and 2,896.40

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Solution

The fourth proportional to 9,822, 14,733 and 2,896.40 is: 4,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822 : 14,733 = 2,896.40 : x
  2. Step 2: Convert to fraction form
    9,822/14,733 = 2,896.40/x
  3. Step 3: Cross multiply
    9,822x = 14,733 × 2,896.40
  4. Step 4: Simplify right side
    9,822x = 42,672,661.20
  5. Step 5: Solve for x
    x = 42,672,661.20/9,822
  6. Step 6: Final answer
    x = 4,344.60

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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.