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Finding the Fourth Proportional to 9,146.81, 12,621.98 and 5,167.68

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Solution

The fourth proportional to 9,146.81, 12,621.98 and 5,167.68 is: 7,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.81 : 12,621.98 = 5,167.68 : x
  2. Step 2: Convert to fraction form
    9,146.81/12,621.98 = 5,167.68/x
  3. Step 3: Cross multiply
    9,146.81x = 12,621.98 × 5,167.68
  4. Step 4: Simplify right side
    9,146.81x = 65,226,327.77
  5. Step 5: Solve for x
    x = 65,226,327.77/9,146.81
  6. Step 6: Final answer
    x = 7,131.05

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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.