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Finding the Fourth Proportional to 6,459.85, 9,664.26 and 6,412.47

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Solution

The fourth proportional to 6,459.85, 9,664.26 and 6,412.47 is: 9,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.85 : 9,664.26 = 6,412.47 : x
  2. Step 2: Convert to fraction form
    6,459.85/9,664.26 = 6,412.47/x
  3. Step 3: Cross multiply
    6,459.85x = 9,664.26 × 6,412.47
  4. Step 4: Simplify right side
    6,459.85x = 61,971,753.10
  5. Step 5: Solve for x
    x = 61,971,753.10/6,459.85
  6. Step 6: Final answer
    x = 9,593.37

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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.