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Finding the Fourth Proportional to 9,145.57, 13,715.64 and 3,880.51

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Solution

The fourth proportional to 9,145.57, 13,715.64 and 3,880.51 is: 5,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.57 : 13,715.64 = 3,880.51 : x
  2. Step 2: Convert to fraction form
    9,145.57/13,715.64 = 3,880.51/x
  3. Step 3: Cross multiply
    9,145.57x = 13,715.64 × 3,880.51
  4. Step 4: Simplify right side
    9,145.57x = 53,223,678.18
  5. Step 5: Solve for x
    x = 53,223,678.18/9,145.57
  6. Step 6: Final answer
    x = 5,819.61

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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.