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Finding the Fourth Proportional to 9,409.88, 14,136.42 and 8,097.68

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Solution

The fourth proportional to 9,409.88, 14,136.42 and 8,097.68 is: 12,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.88 : 14,136.42 = 8,097.68 : x
  2. Step 2: Convert to fraction form
    9,409.88/14,136.42 = 8,097.68/x
  3. Step 3: Cross multiply
    9,409.88x = 14,136.42 × 8,097.68
  4. Step 4: Simplify right side
    9,409.88x = 114,472,205.51
  5. Step 5: Solve for x
    x = 114,472,205.51/9,409.88
  6. Step 6: Final answer
    x = 12,165.11

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1.5x scale

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.