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Finding the Fourth Proportional to 7,141.66, 9,855.18 and 3,955.24

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Solution

The fourth proportional to 7,141.66, 9,855.18 and 3,955.24 is: 5,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.66 : 9,855.18 = 3,955.24 : x
  2. Step 2: Convert to fraction form
    7,141.66/9,855.18 = 3,955.24/x
  3. Step 3: Cross multiply
    7,141.66x = 9,855.18 × 3,955.24
  4. Step 4: Simplify right side
    7,141.66x = 38,979,602.14
  5. Step 5: Solve for x
    x = 38,979,602.14/7,141.66
  6. Step 6: Final answer
    x = 5,458.06

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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.