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Finding the Fourth Proportional to 9,965.71, 14,952.02 and 4,422.94

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Solution

The fourth proportional to 9,965.71, 14,952.02 and 4,422.94 is: 6,635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.71 : 14,952.02 = 4,422.94 : x
  2. Step 2: Convert to fraction form
    9,965.71/14,952.02 = 4,422.94/x
  3. Step 3: Cross multiply
    9,965.71x = 14,952.02 × 4,422.94
  4. Step 4: Simplify right side
    9,965.71x = 66,131,827.84
  5. Step 5: Solve for x
    x = 66,131,827.84/9,965.71
  6. Step 6: Final answer
    x = 6,635.94

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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.