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Finding the Fourth Proportional to 8,856.58, 13,254 and 6,396.34

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Solution

The fourth proportional to 8,856.58, 13,254 and 6,396.34 is: 9,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856.58 : 13,254 = 6,396.34 : x
  2. Step 2: Convert to fraction form
    8,856.58/13,254 = 6,396.34/x
  3. Step 3: Cross multiply
    8,856.58x = 13,254 × 6,396.34
  4. Step 4: Simplify right side
    8,856.58x = 84,777,090.36
  5. Step 5: Solve for x
    x = 84,777,090.36/8,856.58
  6. Step 6: Final answer
    x = 9,572.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.