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Finding the Fourth Proportional to 9,710.73, 14,568.93 and 3,136.77

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Solution

The fourth proportional to 9,710.73, 14,568.93 and 3,136.77 is: 4,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.73 : 14,568.93 = 3,136.77 : x
  2. Step 2: Convert to fraction form
    9,710.73/14,568.93 = 3,136.77/x
  3. Step 3: Cross multiply
    9,710.73x = 14,568.93 × 3,136.77
  4. Step 4: Simplify right side
    9,710.73x = 45,699,382.56
  5. Step 5: Solve for x
    x = 45,699,382.56/9,710.73
  6. Step 6: Final answer
    x = 4,706.07

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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.