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Finding the Fourth Proportional to 9,112.41, 13,670.53 and 5,165.55

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Solution

The fourth proportional to 9,112.41, 13,670.53 and 5,165.55 is: 7,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.41 : 13,670.53 = 5,165.55 : x
  2. Step 2: Convert to fraction form
    9,112.41/13,670.53 = 5,165.55/x
  3. Step 3: Cross multiply
    9,112.41x = 13,670.53 × 5,165.55
  4. Step 4: Simplify right side
    9,112.41x = 70,615,806.24
  5. Step 5: Solve for x
    x = 70,615,806.24/9,112.41
  6. Step 6: Final answer
    x = 7,749.41

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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.