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Finding the Fourth Proportional to 9,764.35, 14,600.05 and 7,540.90

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Solution

The fourth proportional to 9,764.35, 14,600.05 and 7,540.90 is: 11,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.35 : 14,600.05 = 7,540.90 : x
  2. Step 2: Convert to fraction form
    9,764.35/14,600.05 = 7,540.90/x
  3. Step 3: Cross multiply
    9,764.35x = 14,600.05 × 7,540.90
  4. Step 4: Simplify right side
    9,764.35x = 110,097,461.69
  5. Step 5: Solve for x
    x = 110,097,461.69/9,764.35
  6. Step 6: Final answer
    x = 11,275.46

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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.