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Finding the Fourth Proportional to 9,427.87, 14,141.79 and 2,407.88

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Solution

The fourth proportional to 9,427.87, 14,141.79 and 2,407.88 is: 3,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.87 : 14,141.79 = 2,407.88 : x
  2. Step 2: Convert to fraction form
    9,427.87/14,141.79 = 2,407.88/x
  3. Step 3: Cross multiply
    9,427.87x = 14,141.79 × 2,407.88
  4. Step 4: Simplify right side
    9,427.87x = 34,051,733.31
  5. Step 5: Solve for x
    x = 34,051,733.31/9,427.87
  6. Step 6: Final answer
    x = 3,611.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.