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Finding the Fourth Proportional to 9,812.41, 13,541.39 and 5,336.43

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Solution

The fourth proportional to 9,812.41, 13,541.39 and 5,336.43 is: 7,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.41 : 13,541.39 = 5,336.43 : x
  2. Step 2: Convert to fraction form
    9,812.41/13,541.39 = 5,336.43/x
  3. Step 3: Cross multiply
    9,812.41x = 13,541.39 × 5,336.43
  4. Step 4: Simplify right side
    9,812.41x = 72,262,585.45
  5. Step 5: Solve for x
    x = 72,262,585.45/9,812.41
  6. Step 6: Final answer
    x = 7,364.41

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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.