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Finding the Fourth Proportional to 9,970.20, 13,754.49 and 5,988.99

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Solution

The fourth proportional to 9,970.20, 13,754.49 and 5,988.99 is: 8,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.20 : 13,754.49 = 5,988.99 : x
  2. Step 2: Convert to fraction form
    9,970.20/13,754.49 = 5,988.99/x
  3. Step 3: Cross multiply
    9,970.20x = 13,754.49 × 5,988.99
  4. Step 4: Simplify right side
    9,970.20x = 82,375,503.07
  5. Step 5: Solve for x
    x = 82,375,503.07/9,970.20
  6. Step 6: Final answer
    x = 8,262.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.