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Finding the Fourth Proportional to 7,004.77, 9,667.02 and 3,860.95

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Solution

The fourth proportional to 7,004.77, 9,667.02 and 3,860.95 is: 5,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.77 : 9,667.02 = 3,860.95 : x
  2. Step 2: Convert to fraction form
    7,004.77/9,667.02 = 3,860.95/x
  3. Step 3: Cross multiply
    7,004.77x = 9,667.02 × 3,860.95
  4. Step 4: Simplify right side
    7,004.77x = 37,323,861.56
  5. Step 5: Solve for x
    x = 37,323,861.56/7,004.77
  6. Step 6: Final answer
    x = 5,328.35

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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.