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Finding the Fourth Proportional to 7,006.52, 9,669 and 3,862.80

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Solution

The fourth proportional to 7,006.52, 9,669 and 3,862.80 is: 5,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.52 : 9,669 = 3,862.80 : x
  2. Step 2: Convert to fraction form
    7,006.52/9,669 = 3,862.80/x
  3. Step 3: Cross multiply
    7,006.52x = 9,669 × 3,862.80
  4. Step 4: Simplify right side
    7,006.52x = 37,349,413.20
  5. Step 5: Solve for x
    x = 37,349,413.20/7,006.52
  6. Step 6: Final answer
    x = 5,330.67

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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.