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Finding the Fourth Proportional to 6,203.86, 9,307.95 and 2,919.46

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Solution

The fourth proportional to 6,203.86, 9,307.95 and 2,919.46 is: 4,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.86 : 9,307.95 = 2,919.46 : x
  2. Step 2: Convert to fraction form
    6,203.86/9,307.95 = 2,919.46/x
  3. Step 3: Cross multiply
    6,203.86x = 9,307.95 × 2,919.46
  4. Step 4: Simplify right side
    6,203.86x = 27,174,187.71
  5. Step 5: Solve for x
    x = 27,174,187.71/6,203.86
  6. Step 6: Final answer
    x = 4,380.21

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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.