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Finding the Fourth Proportional to 9,812.91, 13,541.88 and 5,336.71

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Solution

The fourth proportional to 9,812.91, 13,541.88 and 5,336.71 is: 7,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.91 : 13,541.88 = 5,336.71 : x
  2. Step 2: Convert to fraction form
    9,812.91/13,541.88 = 5,336.71/x
  3. Step 3: Cross multiply
    9,812.91x = 13,541.88 × 5,336.71
  4. Step 4: Simplify right side
    9,812.91x = 72,268,992.02
  5. Step 5: Solve for x
    x = 72,268,992.02/9,812.91
  6. Step 6: Final answer
    x = 7,364.69

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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.