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Finding the Fourth Proportional to 9,077.24, 13,627.38 and 7,717.88

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Solution

The fourth proportional to 9,077.24, 13,627.38 and 7,717.88 is: 11,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.24 : 13,627.38 = 7,717.88 : x
  2. Step 2: Convert to fraction form
    9,077.24/13,627.38 = 7,717.88/x
  3. Step 3: Cross multiply
    9,077.24x = 13,627.38 × 7,717.88
  4. Step 4: Simplify right side
    9,077.24x = 105,174,483.55
  5. Step 5: Solve for x
    x = 105,174,483.55/9,077.24
  6. Step 6: Final answer
    x = 11,586.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.