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Finding the Fourth Proportional to 9,164.90, 12,648.38 and 5,386.17

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Solution

The fourth proportional to 9,164.90, 12,648.38 and 5,386.17 is: 7,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.90 : 12,648.38 = 5,386.17 : x
  2. Step 2: Convert to fraction form
    9,164.90/12,648.38 = 5,386.17/x
  3. Step 3: Cross multiply
    9,164.90x = 12,648.38 × 5,386.17
  4. Step 4: Simplify right side
    9,164.90x = 68,126,324.98
  5. Step 5: Solve for x
    x = 68,126,324.98/9,164.90
  6. Step 6: Final answer
    x = 7,433.40

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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.