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Finding the Fourth Proportional to 9,615.33, 13,271.28 and 6,077.85

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Solution

The fourth proportional to 9,615.33, 13,271.28 and 6,077.85 is: 8,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.33 : 13,271.28 = 6,077.85 : x
  2. Step 2: Convert to fraction form
    9,615.33/13,271.28 = 6,077.85/x
  3. Step 3: Cross multiply
    9,615.33x = 13,271.28 × 6,077.85
  4. Step 4: Simplify right side
    9,615.33x = 80,660,849.15
  5. Step 5: Solve for x
    x = 80,660,849.15/9,615.33
  6. Step 6: Final answer
    x = 8,388.78

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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.