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Finding the Fourth Proportional to 9,356.43, 12,911.53 and 5,164.59

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Solution

The fourth proportional to 9,356.43, 12,911.53 and 5,164.59 is: 7,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.43 : 12,911.53 = 5,164.59 : x
  2. Step 2: Convert to fraction form
    9,356.43/12,911.53 = 5,164.59/x
  3. Step 3: Cross multiply
    9,356.43x = 12,911.53 × 5,164.59
  4. Step 4: Simplify right side
    9,356.43x = 66,682,758.72
  5. Step 5: Solve for x
    x = 66,682,758.72/9,356.43
  6. Step 6: Final answer
    x = 7,126.94

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