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Finding the Fourth Proportional to 9,706.88, 14,557.21 and 3,131.53

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Solution

The fourth proportional to 9,706.88, 14,557.21 and 3,131.53 is: 4,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.88 : 14,557.21 = 3,131.53 : x
  2. Step 2: Convert to fraction form
    9,706.88/14,557.21 = 3,131.53/x
  3. Step 3: Cross multiply
    9,706.88x = 14,557.21 × 3,131.53
  4. Step 4: Simplify right side
    9,706.88x = 45,586,295.61
  5. Step 5: Solve for x
    x = 45,586,295.61/9,706.88
  6. Step 6: Final answer
    x = 4,696.29

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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.