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Finding the Fourth Proportional to 9,145.50, 13,710.06 and 3,300.78

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Solution

The fourth proportional to 9,145.50, 13,710.06 and 3,300.78 is: 4,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.50 : 13,710.06 = 3,300.78 : x
  2. Step 2: Convert to fraction form
    9,145.50/13,710.06 = 3,300.78/x
  3. Step 3: Cross multiply
    9,145.50x = 13,710.06 × 3,300.78
  4. Step 4: Simplify right side
    9,145.50x = 45,253,891.85
  5. Step 5: Solve for x
    x = 45,253,891.85/9,145.50
  6. Step 6: Final answer
    x = 4,948.21

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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.