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Finding the Fourth Proportional to 9,265.77, 13,895.01 and 4,068

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Solution

The fourth proportional to 9,265.77, 13,895.01 and 4,068 is: 6,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.77 : 13,895.01 = 4,068 : x
  2. Step 2: Convert to fraction form
    9,265.77/13,895.01 = 4,068/x
  3. Step 3: Cross multiply
    9,265.77x = 13,895.01 × 4,068
  4. Step 4: Simplify right side
    9,265.77x = 56,524,900.68
  5. Step 5: Solve for x
    x = 56,524,900.68/9,265.77
  6. Step 6: Final answer
    x = 6,100.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.