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Finding the Fourth Proportional to 9,711.77, 14,563.99 and 3,136.19

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Solution

The fourth proportional to 9,711.77, 14,563.99 and 3,136.19 is: 4,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.77 : 14,563.99 = 3,136.19 : x
  2. Step 2: Convert to fraction form
    9,711.77/14,563.99 = 3,136.19/x
  3. Step 3: Cross multiply
    9,711.77x = 14,563.99 × 3,136.19
  4. Step 4: Simplify right side
    9,711.77x = 45,675,425.51
  5. Step 5: Solve for x
    x = 45,675,425.51/9,711.77
  6. Step 6: Final answer
    x = 4,703.10

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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.