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Finding the Fourth Proportional to 9,077.50, 13,606.53 and 3,811.20

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Solution

The fourth proportional to 9,077.50, 13,606.53 and 3,811.20 is: 5,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.50 : 13,606.53 = 3,811.20 : x
  2. Step 2: Convert to fraction form
    9,077.50/13,606.53 = 3,811.20/x
  3. Step 3: Cross multiply
    9,077.50x = 13,606.53 × 3,811.20
  4. Step 4: Simplify right side
    9,077.50x = 51,857,207.14
  5. Step 5: Solve for x
    x = 51,857,207.14/9,077.50
  6. Step 6: Final answer
    x = 5,712.72

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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.