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Finding the Fourth Proportional to 9,289.56, 13,935.06 and 2,364

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Solution

The fourth proportional to 9,289.56, 13,935.06 and 2,364 is: 3,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.56 : 13,935.06 = 2,364 : x
  2. Step 2: Convert to fraction form
    9,289.56/13,935.06 = 2,364/x
  3. Step 3: Cross multiply
    9,289.56x = 13,935.06 × 2,364
  4. Step 4: Simplify right side
    9,289.56x = 32,942,481.84
  5. Step 5: Solve for x
    x = 32,942,481.84/9,289.56
  6. Step 6: Final answer
    x = 3,546.18

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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.