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Finding the Fourth Proportional to 9,377.66, 14,063.66 and 3,136.07

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Solution

The fourth proportional to 9,377.66, 14,063.66 and 3,136.07 is: 4,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.66 : 14,063.66 = 3,136.07 : x
  2. Step 2: Convert to fraction form
    9,377.66/14,063.66 = 3,136.07/x
  3. Step 3: Cross multiply
    9,377.66x = 14,063.66 × 3,136.07
  4. Step 4: Simplify right side
    9,377.66x = 44,104,606.54
  5. Step 5: Solve for x
    x = 44,104,606.54/9,377.66
  6. Step 6: Final answer
    x = 4,703.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.