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Finding the Fourth Proportional to 9,869.65, 13,620.31 and 5,393.67

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Solution

The fourth proportional to 9,869.65, 13,620.31 and 5,393.67 is: 7,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.65 : 13,620.31 = 5,393.67 : x
  2. Step 2: Convert to fraction form
    9,869.65/13,620.31 = 5,393.67/x
  3. Step 3: Cross multiply
    9,869.65x = 13,620.31 × 5,393.67
  4. Step 4: Simplify right side
    9,869.65x = 73,463,464.52
  5. Step 5: Solve for x
    x = 73,463,464.52/9,869.65
  6. Step 6: Final answer
    x = 7,443.37

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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.