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Finding the Fourth Proportional to 9,763.24, 14,644.72 and 2,367.76

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Solution

The fourth proportional to 9,763.24, 14,644.72 and 2,367.76 is: 3,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.24 : 14,644.72 = 2,367.76 : x
  2. Step 2: Convert to fraction form
    9,763.24/14,644.72 = 2,367.76/x
  3. Step 3: Cross multiply
    9,763.24x = 14,644.72 × 2,367.76
  4. Step 4: Simplify right side
    9,763.24x = 34,675,097.16
  5. Step 5: Solve for x
    x = 34,675,097.16/9,763.24
  6. Step 6: Final answer
    x = 3,551.60

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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.