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Finding the Fourth Proportional to 9,492.53, 14,238.80 and 2,472.53

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Solution

The fourth proportional to 9,492.53, 14,238.80 and 2,472.53 is: 3,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.53 : 14,238.80 = 2,472.53 : x
  2. Step 2: Convert to fraction form
    9,492.53/14,238.80 = 2,472.53/x
  3. Step 3: Cross multiply
    9,492.53x = 14,238.80 × 2,472.53
  4. Step 4: Simplify right side
    9,492.53x = 35,205,789.36
  5. Step 5: Solve for x
    x = 35,205,789.36/9,492.53
  6. Step 6: Final answer
    x = 3,708.79

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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.