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Finding the Fourth Proportional to 9,265.11, 12,785.99 and 5,288.41

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Solution

The fourth proportional to 9,265.11, 12,785.99 and 5,288.41 is: 7,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.11 : 12,785.99 = 5,288.41 : x
  2. Step 2: Convert to fraction form
    9,265.11/12,785.99 = 5,288.41/x
  3. Step 3: Cross multiply
    9,265.11x = 12,785.99 × 5,288.41
  4. Step 4: Simplify right side
    9,265.11x = 67,617,557.38
  5. Step 5: Solve for x
    x = 67,617,557.38/9,265.11
  6. Step 6: Final answer
    x = 7,298.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.