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Finding the Fourth Proportional to 9,494.66, 14,245.04 and 4,564.66

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Solution

The fourth proportional to 9,494.66, 14,245.04 and 4,564.66 is: 6,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.66 : 14,245.04 = 4,564.66 : x
  2. Step 2: Convert to fraction form
    9,494.66/14,245.04 = 4,564.66/x
  3. Step 3: Cross multiply
    9,494.66x = 14,245.04 × 4,564.66
  4. Step 4: Simplify right side
    9,494.66x = 65,023,764.29
  5. Step 5: Solve for x
    x = 65,023,764.29/9,494.66
  6. Step 6: Final answer
    x = 6,848.46

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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.