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Finding the Fourth Proportional to 9,733.42, 14,600.60 and 2,713.42

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Solution

The fourth proportional to 9,733.42, 14,600.60 and 2,713.42 is: 4,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.42 : 14,600.60 = 2,713.42 : x
  2. Step 2: Convert to fraction form
    9,733.42/14,600.60 = 2,713.42/x
  3. Step 3: Cross multiply
    9,733.42x = 14,600.60 × 2,713.42
  4. Step 4: Simplify right side
    9,733.42x = 39,617,560.05
  5. Step 5: Solve for x
    x = 39,617,560.05/9,733.42
  6. Step 6: Final answer
    x = 4,070.26

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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.