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Finding the Fourth Proportional to 9,919.50, 14,890.20 and 5,764.20

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Solution

The fourth proportional to 9,919.50, 14,890.20 and 5,764.20 is: 8,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.50 : 14,890.20 = 5,764.20 : x
  2. Step 2: Convert to fraction form
    9,919.50/14,890.20 = 5,764.20/x
  3. Step 3: Cross multiply
    9,919.50x = 14,890.20 × 5,764.20
  4. Step 4: Simplify right side
    9,919.50x = 85,830,090.84
  5. Step 5: Solve for x
    x = 85,830,090.84/9,919.50
  6. Step 6: Final answer
    x = 8,652.66

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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.