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Finding the Fourth Proportional to 9,356.45, 12,913.32 and 5,820.80

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Solution

The fourth proportional to 9,356.45, 12,913.32 and 5,820.80 is: 8,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.45 : 12,913.32 = 5,820.80 : x
  2. Step 2: Convert to fraction form
    9,356.45/12,913.32 = 5,820.80/x
  3. Step 3: Cross multiply
    9,356.45x = 12,913.32 × 5,820.80
  4. Step 4: Simplify right side
    9,356.45x = 75,165,853.06
  5. Step 5: Solve for x
    x = 75,165,853.06/9,356.45
  6. Step 6: Final answer
    x = 8,033.59

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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.