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Finding the Fourth Proportional to 9,763.16, 14,644.59 and 2,367.68

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Solution

The fourth proportional to 9,763.16, 14,644.59 and 2,367.68 is: 3,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.16 : 14,644.59 = 2,367.68 : x
  2. Step 2: Convert to fraction form
    9,763.16/14,644.59 = 2,367.68/x
  3. Step 3: Cross multiply
    9,763.16x = 14,644.59 × 2,367.68
  4. Step 4: Simplify right side
    9,763.16x = 34,673,702.85
  5. Step 5: Solve for x
    x = 34,673,702.85/9,763.16
  6. Step 6: Final answer
    x = 3,551.48

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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.