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Finding the Fourth Proportional to 6,530.45, 9,011.88 and 3,698.34

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Solution

The fourth proportional to 6,530.45, 9,011.88 and 3,698.34 is: 5,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.45 : 9,011.88 = 3,698.34 : x
  2. Step 2: Convert to fraction form
    6,530.45/9,011.88 = 3,698.34/x
  3. Step 3: Cross multiply
    6,530.45x = 9,011.88 × 3,698.34
  4. Step 4: Simplify right side
    6,530.45x = 33,328,996.28
  5. Step 5: Solve for x
    x = 33,328,996.28/6,530.45
  6. Step 6: Final answer
    x = 5,103.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.