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Finding the Fourth Proportional to 6,615.40, 9,130.09 and 3,820.90

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Solution

The fourth proportional to 6,615.40, 9,130.09 and 3,820.90 is: 5,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.40 : 9,130.09 = 3,820.90 : x
  2. Step 2: Convert to fraction form
    6,615.40/9,130.09 = 3,820.90/x
  3. Step 3: Cross multiply
    6,615.40x = 9,130.09 × 3,820.90
  4. Step 4: Simplify right side
    6,615.40x = 34,885,115.23
  5. Step 5: Solve for x
    x = 34,885,115.23/6,615.40
  6. Step 6: Final answer
    x = 5,273.32

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Why These Related Problems?

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