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Finding the Fourth Proportional to 9,226.41, 12,730.50 and 5,868

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Solution

The fourth proportional to 9,226.41, 12,730.50 and 5,868 is: 8,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.41 : 12,730.50 = 5,868 : x
  2. Step 2: Convert to fraction form
    9,226.41/12,730.50 = 5,868/x
  3. Step 3: Cross multiply
    9,226.41x = 12,730.50 × 5,868
  4. Step 4: Simplify right side
    9,226.41x = 74,702,574
  5. Step 5: Solve for x
    x = 74,702,574/9,226.41
  6. Step 6: Final answer
    x = 8,096.60

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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.