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Finding the Fourth Proportional to 8,927.33, 12,313.16 and 6,412.02

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Solution

The fourth proportional to 8,927.33, 12,313.16 and 6,412.02 is: 8,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.33 : 12,313.16 = 6,412.02 : x
  2. Step 2: Convert to fraction form
    8,927.33/12,313.16 = 6,412.02/x
  3. Step 3: Cross multiply
    8,927.33x = 12,313.16 × 6,412.02
  4. Step 4: Simplify right side
    8,927.33x = 78,952,244.21
  5. Step 5: Solve for x
    x = 78,952,244.21/8,927.33
  6. Step 6: Final answer
    x = 8,843.89

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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.