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Finding the Fourth Proportional to 9,541.94, 13,168.62 and 5,293.41

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Solution

The fourth proportional to 9,541.94, 13,168.62 and 5,293.41 is: 7,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.94 : 13,168.62 = 5,293.41 : x
  2. Step 2: Convert to fraction form
    9,541.94/13,168.62 = 5,293.41/x
  3. Step 3: Cross multiply
    9,541.94x = 13,168.62 × 5,293.41
  4. Step 4: Simplify right side
    9,541.94x = 69,706,904.79
  5. Step 5: Solve for x
    x = 69,706,904.79/9,541.94
  6. Step 6: Final answer
    x = 7,305.32

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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.