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Finding the Fourth Proportional to 6,852.60, 9,456.72 and 4,021.64

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Solution

The fourth proportional to 6,852.60, 9,456.72 and 4,021.64 is: 5,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.60 : 9,456.72 = 4,021.64 : x
  2. Step 2: Convert to fraction form
    6,852.60/9,456.72 = 4,021.64/x
  3. Step 3: Cross multiply
    6,852.60x = 9,456.72 × 4,021.64
  4. Step 4: Simplify right side
    6,852.60x = 38,031,523.42
  5. Step 5: Solve for x
    x = 38,031,523.42/6,852.60
  6. Step 6: Final answer
    x = 5,549.94

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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.