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Finding the Fourth Proportional to 9,687.36, 14,532.65 and 4,137.40

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Solution

The fourth proportional to 9,687.36, 14,532.65 and 4,137.40 is: 6,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.36 : 14,532.65 = 4,137.40 : x
  2. Step 2: Convert to fraction form
    9,687.36/14,532.65 = 4,137.40/x
  3. Step 3: Cross multiply
    9,687.36x = 14,532.65 × 4,137.40
  4. Step 4: Simplify right side
    9,687.36x = 60,127,317.36
  5. Step 5: Solve for x
    x = 60,127,317.36/9,687.36
  6. Step 6: Final answer
    x = 6,206.78

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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.