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Finding the Fourth Proportional to 9,106.64, 13,658.62 and 2,532.16

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Solution

The fourth proportional to 9,106.64, 13,658.62 and 2,532.16 is: 3,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.64 : 13,658.62 = 2,532.16 : x
  2. Step 2: Convert to fraction form
    9,106.64/13,658.62 = 2,532.16/x
  3. Step 3: Cross multiply
    9,106.64x = 13,658.62 × 2,532.16
  4. Step 4: Simplify right side
    9,106.64x = 34,585,811.22
  5. Step 5: Solve for x
    x = 34,585,811.22/9,106.64
  6. Step 6: Final answer
    x = 3,797.87

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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.