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Finding the Fourth Proportional to 9,216.73, 12,720 and 5,441.14

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Solution

The fourth proportional to 9,216.73, 12,720 and 5,441.14 is: 7,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.73 : 12,720 = 5,441.14 : x
  2. Step 2: Convert to fraction form
    9,216.73/12,720 = 5,441.14/x
  3. Step 3: Cross multiply
    9,216.73x = 12,720 × 5,441.14
  4. Step 4: Simplify right side
    9,216.73x = 69,211,300.80
  5. Step 5: Solve for x
    x = 69,211,300.80/9,216.73
  6. Step 6: Final answer
    x = 7,509.31

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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.