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Finding the Fourth Proportional to 9,047.24, 13,509.27 and 7,984.19

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Solution

The fourth proportional to 9,047.24, 13,509.27 and 7,984.19 is: 11,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.24 : 13,509.27 = 7,984.19 : x
  2. Step 2: Convert to fraction form
    9,047.24/13,509.27 = 7,984.19/x
  3. Step 3: Cross multiply
    9,047.24x = 13,509.27 × 7,984.19
  4. Step 4: Simplify right side
    9,047.24x = 107,860,578.44
  5. Step 5: Solve for x
    x = 107,860,578.44/9,047.24
  6. Step 6: Final answer
    x = 11,921.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.