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Finding the Fourth Proportional to 9,207.72, 13,803.24 and 3,360.24

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Solution

The fourth proportional to 9,207.72, 13,803.24 and 3,360.24 is: 5,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.72 : 13,803.24 = 3,360.24 : x
  2. Step 2: Convert to fraction form
    9,207.72/13,803.24 = 3,360.24/x
  3. Step 3: Cross multiply
    9,207.72x = 13,803.24 × 3,360.24
  4. Step 4: Simplify right side
    9,207.72x = 46,382,199.18
  5. Step 5: Solve for x
    x = 46,382,199.18/9,207.72
  6. Step 6: Final answer
    x = 5,037.32

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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.