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Finding the Fourth Proportional to 9,619.02, 14,422.50 and 3,768.84

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Solution

The fourth proportional to 9,619.02, 14,422.50 and 3,768.84 is: 5,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.02 : 14,422.50 = 3,768.84 : x
  2. Step 2: Convert to fraction form
    9,619.02/14,422.50 = 3,768.84/x
  3. Step 3: Cross multiply
    9,619.02x = 14,422.50 × 3,768.84
  4. Step 4: Simplify right side
    9,619.02x = 54,356,094.90
  5. Step 5: Solve for x
    x = 54,356,094.90/9,619.02
  6. Step 6: Final answer
    x = 5,650.90

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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.