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Finding the Fourth Proportional to 9,466.45, 13,063.41 and 5,931.61

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Solution

The fourth proportional to 9,466.45, 13,063.41 and 5,931.61 is: 8,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.45 : 13,063.41 = 5,931.61 : x
  2. Step 2: Convert to fraction form
    9,466.45/13,063.41 = 5,931.61/x
  3. Step 3: Cross multiply
    9,466.45x = 13,063.41 × 5,931.61
  4. Step 4: Simplify right side
    9,466.45x = 77,487,053.39
  5. Step 5: Solve for x
    x = 77,487,053.39/9,466.45
  6. Step 6: Final answer
    x = 8,185.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.