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Finding the Fourth Proportional to 9,261.06, 13,894.02 and 3,713.40

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Solution

The fourth proportional to 9,261.06, 13,894.02 and 3,713.40 is: 5,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.06 : 13,894.02 = 3,713.40 : x
  2. Step 2: Convert to fraction form
    9,261.06/13,894.02 = 3,713.40/x
  3. Step 3: Cross multiply
    9,261.06x = 13,894.02 × 3,713.40
  4. Step 4: Simplify right side
    9,261.06x = 51,594,053.87
  5. Step 5: Solve for x
    x = 51,594,053.87/9,261.06
  6. Step 6: Final answer
    x = 5,571.07

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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.