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Finding the Fourth Proportional to 9,430.52, 14,145.80 and 2,505

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Solution

The fourth proportional to 9,430.52, 14,145.80 and 2,505 is: 3,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.52 : 14,145.80 = 2,505 : x
  2. Step 2: Convert to fraction form
    9,430.52/14,145.80 = 2,505/x
  3. Step 3: Cross multiply
    9,430.52x = 14,145.80 × 2,505
  4. Step 4: Simplify right side
    9,430.52x = 35,435,229
  5. Step 5: Solve for x
    x = 35,435,229/9,430.52
  6. Step 6: Final answer
    x = 3,757.51

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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.