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Finding the Fourth Proportional to 11,463.71, 17,117.94 and 9,097.15

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Solution

The fourth proportional to 11,463.71, 17,117.94 and 9,097.15 is: 13,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.71 : 17,117.94 = 9,097.15 : x
  2. Step 2: Convert to fraction form
    11,463.71/17,117.94 = 9,097.15/x
  3. Step 3: Cross multiply
    11,463.71x = 17,117.94 × 9,097.15
  4. Step 4: Simplify right side
    11,463.71x = 155,724,467.87
  5. Step 5: Solve for x
    x = 155,724,467.87/11,463.71
  6. Step 6: Final answer
    x = 13,584.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.