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Finding the Fourth Proportional to 9,161.66, 12,642.50 and 5,127.82

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Solution

The fourth proportional to 9,161.66, 12,642.50 and 5,127.82 is: 7,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.66 : 12,642.50 = 5,127.82 : x
  2. Step 2: Convert to fraction form
    9,161.66/12,642.50 = 5,127.82/x
  3. Step 3: Cross multiply
    9,161.66x = 12,642.50 × 5,127.82
  4. Step 4: Simplify right side
    9,161.66x = 64,828,464.35
  5. Step 5: Solve for x
    x = 64,828,464.35/9,161.66
  6. Step 6: Final answer
    x = 7,076.06

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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.