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Finding the Fourth Proportional to 9,756.25, 13,469.43 and 6,404.93

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Solution

The fourth proportional to 9,756.25, 13,469.43 and 6,404.93 is: 8,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.25 : 13,469.43 = 6,404.93 : x
  2. Step 2: Convert to fraction form
    9,756.25/13,469.43 = 6,404.93/x
  3. Step 3: Cross multiply
    9,756.25x = 13,469.43 × 6,404.93
  4. Step 4: Simplify right side
    9,756.25x = 86,270,756.29
  5. Step 5: Solve for x
    x = 86,270,756.29/9,756.25
  6. Step 6: Final answer
    x = 8,842.61

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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.