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Finding the Fourth Proportional to 9,703.35, 13,382.78 and 6,515.69

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Solution

The fourth proportional to 9,703.35, 13,382.78 and 6,515.69 is: 8,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.35 : 13,382.78 = 6,515.69 : x
  2. Step 2: Convert to fraction form
    9,703.35/13,382.78 = 6,515.69/x
  3. Step 3: Cross multiply
    9,703.35x = 13,382.78 × 6,515.69
  4. Step 4: Simplify right side
    9,703.35x = 87,197,995.19
  5. Step 5: Solve for x
    x = 87,197,995.19/9,703.35
  6. Step 6: Final answer
    x = 8,986.38

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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.