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Finding the Fourth Proportional to 9,940.80, 13,718.61 and 5,465.01

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Solution

The fourth proportional to 9,940.80, 13,718.61 and 5,465.01 is: 7,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.80 : 13,718.61 = 5,465.01 : x
  2. Step 2: Convert to fraction form
    9,940.80/13,718.61 = 5,465.01/x
  3. Step 3: Cross multiply
    9,940.80x = 13,718.61 × 5,465.01
  4. Step 4: Simplify right side
    9,940.80x = 74,972,340.84
  5. Step 5: Solve for x
    x = 74,972,340.84/9,940.80
  6. Step 6: Final answer
    x = 7,541.88

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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.