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Finding the Fourth Proportional to 9,360.64, 14,031.12 and 3,736.10

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Solution

The fourth proportional to 9,360.64, 14,031.12 and 3,736.10 is: 5,600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,360.64 : 14,031.12 = 3,736.10 : x
  2. Step 2: Convert to fraction form
    9,360.64/14,031.12 = 3,736.10/x
  3. Step 3: Cross multiply
    9,360.64x = 14,031.12 × 3,736.10
  4. Step 4: Simplify right side
    9,360.64x = 52,421,716.52
  5. Step 5: Solve for x
    x = 52,421,716.52/9,360.64
  6. Step 6: Final answer
    x = 5,600.23

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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.