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Finding the Fourth Proportional to 8,927.96, 13,412.46 and 6,301.50

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Solution

The fourth proportional to 8,927.96, 13,412.46 and 6,301.50 is: 9,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.96 : 13,412.46 = 6,301.50 : x
  2. Step 2: Convert to fraction form
    8,927.96/13,412.46 = 6,301.50/x
  3. Step 3: Cross multiply
    8,927.96x = 13,412.46 × 6,301.50
  4. Step 4: Simplify right side
    8,927.96x = 84,518,616.69
  5. Step 5: Solve for x
    x = 84,518,616.69/8,927.96
  6. Step 6: Final answer
    x = 9,466.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.