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Finding the Fourth Proportional to 7,005.39, 9,667.04 and 4,020.95

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Solution

The fourth proportional to 7,005.39, 9,667.04 and 4,020.95 is: 5,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.39 : 9,667.04 = 4,020.95 : x
  2. Step 2: Convert to fraction form
    7,005.39/9,667.04 = 4,020.95/x
  3. Step 3: Cross multiply
    7,005.39x = 9,667.04 × 4,020.95
  4. Step 4: Simplify right side
    7,005.39x = 38,870,616.05
  5. Step 5: Solve for x
    x = 38,870,616.05/7,005.39
  6. Step 6: Final answer
    x = 5,548.67

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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.