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Finding the Fourth Proportional to 6,289.95, 9,436.97 and 3,003.07

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Solution

The fourth proportional to 6,289.95, 9,436.97 and 3,003.07 is: 4,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.95 : 9,436.97 = 3,003.07 : x
  2. Step 2: Convert to fraction form
    6,289.95/9,436.97 = 3,003.07/x
  3. Step 3: Cross multiply
    6,289.95x = 9,436.97 × 3,003.07
  4. Step 4: Simplify right side
    6,289.95x = 28,339,881.50
  5. Step 5: Solve for x
    x = 28,339,881.50/6,289.95
  6. Step 6: Final answer
    x = 4,505.58

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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.