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Finding the Fourth Proportional to 9,161.66, 12,643.72 and 5,182.76

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Solution

The fourth proportional to 9,161.66, 12,643.72 and 5,182.76 is: 7,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.66 : 12,643.72 = 5,182.76 : x
  2. Step 2: Convert to fraction form
    9,161.66/12,643.72 = 5,182.76/x
  3. Step 3: Cross multiply
    9,161.66x = 12,643.72 × 5,182.76
  4. Step 4: Simplify right side
    9,161.66x = 65,529,366.27
  5. Step 5: Solve for x
    x = 65,529,366.27/9,161.66
  6. Step 6: Final answer
    x = 7,152.56

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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.