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Finding the Fourth Proportional to 9,030.70, 13,548.12 and 3,766.63

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Solution

The fourth proportional to 9,030.70, 13,548.12 and 3,766.63 is: 5,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.70 : 13,548.12 = 3,766.63 : x
  2. Step 2: Convert to fraction form
    9,030.70/13,548.12 = 3,766.63/x
  3. Step 3: Cross multiply
    9,030.70x = 13,548.12 × 3,766.63
  4. Step 4: Simplify right side
    9,030.70x = 51,030,755.24
  5. Step 5: Solve for x
    x = 51,030,755.24/9,030.70
  6. Step 6: Final answer
    x = 5,650.81

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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.