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Finding the Fourth Proportional to 7,141.40, 9,855.44 and 4,416.54

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Solution

The fourth proportional to 7,141.40, 9,855.44 and 4,416.54 is: 6,095.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.40 : 9,855.44 = 4,416.54 : x
  2. Step 2: Convert to fraction form
    7,141.40/9,855.44 = 4,416.54/x
  3. Step 3: Cross multiply
    7,141.40x = 9,855.44 × 4,416.54
  4. Step 4: Simplify right side
    7,141.40x = 43,526,944.98
  5. Step 5: Solve for x
    x = 43,526,944.98/7,141.40
  6. Step 6: Final answer
    x = 6,095.02

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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.