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Finding the Fourth Proportional to 9,107.64, 13,660.10 and 2,533.14

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Solution

The fourth proportional to 9,107.64, 13,660.10 and 2,533.14 is: 3,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.64 : 13,660.10 = 2,533.14 : x
  2. Step 2: Convert to fraction form
    9,107.64/13,660.10 = 2,533.14/x
  3. Step 3: Cross multiply
    9,107.64x = 13,660.10 × 2,533.14
  4. Step 4: Simplify right side
    9,107.64x = 34,602,945.71
  5. Step 5: Solve for x
    x = 34,602,945.71/9,107.64
  6. Step 6: Final answer
    x = 3,799.33

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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.