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Finding the Fourth Proportional to 9,474.57, 14,211.90 and 2,454.09

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Solution

The fourth proportional to 9,474.57, 14,211.90 and 2,454.09 is: 3,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.57 : 14,211.90 = 2,454.09 : x
  2. Step 2: Convert to fraction form
    9,474.57/14,211.90 = 2,454.09/x
  3. Step 3: Cross multiply
    9,474.57x = 14,211.90 × 2,454.09
  4. Step 4: Simplify right side
    9,474.57x = 34,877,281.67
  5. Step 5: Solve for x
    x = 34,877,281.67/9,474.57
  6. Step 6: Final answer
    x = 3,681.15

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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.