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Finding the Fourth Proportional to 9,883.98, 14,824.89 and 4,952.70

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Solution

The fourth proportional to 9,883.98, 14,824.89 and 4,952.70 is: 7,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.98 : 14,824.89 = 4,952.70 : x
  2. Step 2: Convert to fraction form
    9,883.98/14,824.89 = 4,952.70/x
  3. Step 3: Cross multiply
    9,883.98x = 14,824.89 × 4,952.70
  4. Step 4: Simplify right side
    9,883.98x = 73,423,232.70
  5. Step 5: Solve for x
    x = 73,423,232.70/9,883.98
  6. Step 6: Final answer
    x = 7,428.51

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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.