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Finding the Fourth Proportional to 9,106.51, 13,659.78 and 2,532.70

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Solution

The fourth proportional to 9,106.51, 13,659.78 and 2,532.70 is: 3,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.51 : 13,659.78 = 2,532.70 : x
  2. Step 2: Convert to fraction form
    9,106.51/13,659.78 = 2,532.70/x
  3. Step 3: Cross multiply
    9,106.51x = 13,659.78 × 2,532.70
  4. Step 4: Simplify right side
    9,106.51x = 34,596,124.81
  5. Step 5: Solve for x
    x = 34,596,124.81/9,106.51
  6. Step 6: Final answer
    x = 3,799.05

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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.