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Finding the Fourth Proportional to 9,785.75, 14,668.96 and 6,265.74

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Solution

The fourth proportional to 9,785.75, 14,668.96 and 6,265.74 is: 9,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.75 : 14,668.96 = 6,265.74 : x
  2. Step 2: Convert to fraction form
    9,785.75/14,668.96 = 6,265.74/x
  3. Step 3: Cross multiply
    9,785.75x = 14,668.96 × 6,265.74
  4. Step 4: Simplify right side
    9,785.75x = 91,911,889.43
  5. Step 5: Solve for x
    x = 91,911,889.43/9,785.75
  6. Step 6: Final answer
    x = 9,392.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.