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Finding the Fourth Proportional to 9,811.17, 14,706.27 and 7,136.35

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Solution

The fourth proportional to 9,811.17, 14,706.27 and 7,136.35 is: 10,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.17 : 14,706.27 = 7,136.35 : x
  2. Step 2: Convert to fraction form
    9,811.17/14,706.27 = 7,136.35/x
  3. Step 3: Cross multiply
    9,811.17x = 14,706.27 × 7,136.35
  4. Step 4: Simplify right side
    9,811.17x = 104,949,053.15
  5. Step 5: Solve for x
    x = 104,949,053.15/9,811.17
  6. Step 6: Final answer
    x = 10,696.89

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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.