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Finding the Fourth Proportional to 9,106.65, 13,659.12 and 2,533.14

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Solution

The fourth proportional to 9,106.65, 13,659.12 and 2,533.14 is: 3,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.65 : 13,659.12 = 2,533.14 : x
  2. Step 2: Convert to fraction form
    9,106.65/13,659.12 = 2,533.14/x
  3. Step 3: Cross multiply
    9,106.65x = 13,659.12 × 2,533.14
  4. Step 4: Simplify right side
    9,106.65x = 34,600,463.24
  5. Step 5: Solve for x
    x = 34,600,463.24/9,106.65
  6. Step 6: Final answer
    x = 3,799.47

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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.