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Finding the Fourth Proportional to 9,208.93, 13,817.48 and 4,825.34

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Solution

The fourth proportional to 9,208.93, 13,817.48 and 4,825.34 is: 7,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.93 : 13,817.48 = 4,825.34 : x
  2. Step 2: Convert to fraction form
    9,208.93/13,817.48 = 4,825.34/x
  3. Step 3: Cross multiply
    9,208.93x = 13,817.48 × 4,825.34
  4. Step 4: Simplify right side
    9,208.93x = 66,674,049.36
  5. Step 5: Solve for x
    x = 66,674,049.36/9,208.93
  6. Step 6: Final answer
    x = 7,240.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.