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Finding the Fourth Proportional to 9,703.26, 13,390.38 and 5,511.24

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Solution

The fourth proportional to 9,703.26, 13,390.38 and 5,511.24 is: 7,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.26 : 13,390.38 = 5,511.24 : x
  2. Step 2: Convert to fraction form
    9,703.26/13,390.38 = 5,511.24/x
  3. Step 3: Cross multiply
    9,703.26x = 13,390.38 × 5,511.24
  4. Step 4: Simplify right side
    9,703.26x = 73,797,597.87
  5. Step 5: Solve for x
    x = 73,797,597.87/9,703.26
  6. Step 6: Final answer
    x = 7,605.44

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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.