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Finding the Fourth Proportional to 8,421.92, 11,631.36 and 6,556

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Solution

The fourth proportional to 8,421.92, 11,631.36 and 6,556 is: 9,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.92 : 11,631.36 = 6,556 : x
  2. Step 2: Convert to fraction form
    8,421.92/11,631.36 = 6,556/x
  3. Step 3: Cross multiply
    8,421.92x = 11,631.36 × 6,556
  4. Step 4: Simplify right side
    8,421.92x = 76,255,196.16
  5. Step 5: Solve for x
    x = 76,255,196.16/8,421.92
  6. Step 6: Final answer
    x = 9,054.37

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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.