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Finding the Fourth Proportional to 9,263.24, 13,894.86 and 3,416.84

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Solution

The fourth proportional to 9,263.24, 13,894.86 and 3,416.84 is: 5,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.24 : 13,894.86 = 3,416.84 : x
  2. Step 2: Convert to fraction form
    9,263.24/13,894.86 = 3,416.84/x
  3. Step 3: Cross multiply
    9,263.24x = 13,894.86 × 3,416.84
  4. Step 4: Simplify right side
    9,263.24x = 47,476,513.44
  5. Step 5: Solve for x
    x = 47,476,513.44/9,263.24
  6. Step 6: Final answer
    x = 5,125.26

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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.