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Finding the Fourth Proportional to 9,356.03, 12,911.29 and 5,164.25

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Solution

The fourth proportional to 9,356.03, 12,911.29 and 5,164.25 is: 7,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.03 : 12,911.29 = 5,164.25 : x
  2. Step 2: Convert to fraction form
    9,356.03/12,911.29 = 5,164.25/x
  3. Step 3: Cross multiply
    9,356.03x = 12,911.29 × 5,164.25
  4. Step 4: Simplify right side
    9,356.03x = 66,677,129.38
  5. Step 5: Solve for x
    x = 66,677,129.38/9,356.03
  6. Step 6: Final answer
    x = 7,126.65

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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.