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Finding the Fourth Proportional to 9,069.37, 13,574.89 and 6,131.50

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Solution

The fourth proportional to 9,069.37, 13,574.89 and 6,131.50 is: 9,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.37 : 13,574.89 = 6,131.50 : x
  2. Step 2: Convert to fraction form
    9,069.37/13,574.89 = 6,131.50/x
  3. Step 3: Cross multiply
    9,069.37x = 13,574.89 × 6,131.50
  4. Step 4: Simplify right side
    9,069.37x = 83,234,411.76
  5. Step 5: Solve for x
    x = 83,234,411.76/9,069.37
  6. Step 6: Final answer
    x = 9,177.53

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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.