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Finding the Fourth Proportional to 9,940.86, 13,718.75 and 5,464.95

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Solution

The fourth proportional to 9,940.86, 13,718.75 and 5,464.95 is: 7,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.86 : 13,718.75 = 5,464.95 : x
  2. Step 2: Convert to fraction form
    9,940.86/13,718.75 = 5,464.95/x
  3. Step 3: Cross multiply
    9,940.86x = 13,718.75 × 5,464.95
  4. Step 4: Simplify right side
    9,940.86x = 74,972,255.49
  5. Step 5: Solve for x
    x = 74,972,255.49/9,940.86
  6. Step 6: Final answer
    x = 7,541.83

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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.