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Finding the Fourth Proportional to 7,146.21, 9,861.80 and 4,164.09

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Solution

The fourth proportional to 7,146.21, 9,861.80 and 4,164.09 is: 5,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.21 : 9,861.80 = 4,164.09 : x
  2. Step 2: Convert to fraction form
    7,146.21/9,861.80 = 4,164.09/x
  3. Step 3: Cross multiply
    7,146.21x = 9,861.80 × 4,164.09
  4. Step 4: Simplify right side
    7,146.21x = 41,065,422.76
  5. Step 5: Solve for x
    x = 41,065,422.76/7,146.21
  6. Step 6: Final answer
    x = 5,746.46

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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.