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Finding the Fourth Proportional to 9,777.26, 13,489.08 and 6,421.89

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Solution

The fourth proportional to 9,777.26, 13,489.08 and 6,421.89 is: 8,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.26 : 13,489.08 = 6,421.89 : x
  2. Step 2: Convert to fraction form
    9,777.26/13,489.08 = 6,421.89/x
  3. Step 3: Cross multiply
    9,777.26x = 13,489.08 × 6,421.89
  4. Step 4: Simplify right side
    9,777.26x = 86,625,387.96
  5. Step 5: Solve for x
    x = 86,625,387.96/9,777.26
  6. Step 6: Final answer
    x = 8,859.89

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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.