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Finding the Fourth Proportional to 9,677, 13,355.34 and 5,951

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Solution

The fourth proportional to 9,677, 13,355.34 and 5,951 is: 8,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677 : 13,355.34 = 5,951 : x
  2. Step 2: Convert to fraction form
    9,677/13,355.34 = 5,951/x
  3. Step 3: Cross multiply
    9,677x = 13,355.34 × 5,951
  4. Step 4: Simplify right side
    9,677x = 79,477,628.34
  5. Step 5: Solve for x
    x = 79,477,628.34/9,677
  6. Step 6: Final answer
    x = 8,213.04

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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.