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Finding the Fourth Proportional to 9,218.34, 13,829.94 and 6,697.89

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Solution

The fourth proportional to 9,218.34, 13,829.94 and 6,697.89 is: 10,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.34 : 13,829.94 = 6,697.89 : x
  2. Step 2: Convert to fraction form
    9,218.34/13,829.94 = 6,697.89/x
  3. Step 3: Cross multiply
    9,218.34x = 13,829.94 × 6,697.89
  4. Step 4: Simplify right side
    9,218.34x = 92,631,416.83
  5. Step 5: Solve for x
    x = 92,631,416.83/9,218.34
  6. Step 6: Final answer
    x = 10,048.60

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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.