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Finding the Fourth Proportional to 9,464.56, 13,060.67 and 5,428.50

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Solution

The fourth proportional to 9,464.56, 13,060.67 and 5,428.50 is: 7,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.56 : 13,060.67 = 5,428.50 : x
  2. Step 2: Convert to fraction form
    9,464.56/13,060.67 = 5,428.50/x
  3. Step 3: Cross multiply
    9,464.56x = 13,060.67 × 5,428.50
  4. Step 4: Simplify right side
    9,464.56x = 70,899,879.75
  5. Step 5: Solve for x
    x = 70,899,879.75/9,464.56
  6. Step 6: Final answer
    x = 7,491.09

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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.