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Finding the Fourth Proportional to 9,175, 12,664.78 and 5,449

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Solution

The fourth proportional to 9,175, 12,664.78 and 5,449 is: 7,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175 : 12,664.78 = 5,449 : x
  2. Step 2: Convert to fraction form
    9,175/12,664.78 = 5,449/x
  3. Step 3: Cross multiply
    9,175x = 12,664.78 × 5,449
  4. Step 4: Simplify right side
    9,175x = 69,010,386.22
  5. Step 5: Solve for x
    x = 69,010,386.22/9,175
  6. Step 6: Final answer
    x = 7,521.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.