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Finding the Fourth Proportional to 9,782.52, 14,671.80 and 2,763.16

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Solution

The fourth proportional to 9,782.52, 14,671.80 and 2,763.16 is: 4,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.52 : 14,671.80 = 2,763.16 : x
  2. Step 2: Convert to fraction form
    9,782.52/14,671.80 = 2,763.16/x
  3. Step 3: Cross multiply
    9,782.52x = 14,671.80 × 2,763.16
  4. Step 4: Simplify right side
    9,782.52x = 40,540,537.80
  5. Step 5: Solve for x
    x = 40,540,537.80/9,782.52
  6. Step 6: Final answer
    x = 4,144.18

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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.