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Finding the Fourth Proportional to 9,786.08, 13,502.34 and 5,807

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Solution

The fourth proportional to 9,786.08, 13,502.34 and 5,807 is: 8,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.08 : 13,502.34 = 5,807 : x
  2. Step 2: Convert to fraction form
    9,786.08/13,502.34 = 5,807/x
  3. Step 3: Cross multiply
    9,786.08x = 13,502.34 × 5,807
  4. Step 4: Simplify right side
    9,786.08x = 78,408,088.38
  5. Step 5: Solve for x
    x = 78,408,088.38/9,786.08
  6. Step 6: Final answer
    x = 8,012.21

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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.