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Finding the Fourth Proportional to 9,647.67, 13,314.50 and 5,399.16

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Solution

The fourth proportional to 9,647.67, 13,314.50 and 5,399.16 is: 7,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.67 : 13,314.50 = 5,399.16 : x
  2. Step 2: Convert to fraction form
    9,647.67/13,314.50 = 5,399.16/x
  3. Step 3: Cross multiply
    9,647.67x = 13,314.50 × 5,399.16
  4. Step 4: Simplify right side
    9,647.67x = 71,887,089.28
  5. Step 5: Solve for x
    x = 71,887,089.28/9,647.67
  6. Step 6: Final answer
    x = 7,451.24

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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.