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Finding the Fourth Proportional to 9,709.20, 14,563.80 and 2,689.20

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Solution

The fourth proportional to 9,709.20, 14,563.80 and 2,689.20 is: 4,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.20 : 14,563.80 = 2,689.20 : x
  2. Step 2: Convert to fraction form
    9,709.20/14,563.80 = 2,689.20/x
  3. Step 3: Cross multiply
    9,709.20x = 14,563.80 × 2,689.20
  4. Step 4: Simplify right side
    9,709.20x = 39,164,970.96
  5. Step 5: Solve for x
    x = 39,164,970.96/9,709.20
  6. Step 6: Final answer
    x = 4,033.80

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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.