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Finding the Fourth Proportional to 9,788.65, 14,668.70 and 4,525.27

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Solution

The fourth proportional to 9,788.65, 14,668.70 and 4,525.27 is: 6,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.65 : 14,668.70 = 4,525.27 : x
  2. Step 2: Convert to fraction form
    9,788.65/14,668.70 = 4,525.27/x
  3. Step 3: Cross multiply
    9,788.65x = 14,668.70 × 4,525.27
  4. Step 4: Simplify right side
    9,788.65x = 66,379,768.75
  5. Step 5: Solve for x
    x = 66,379,768.75/9,788.65
  6. Step 6: Final answer
    x = 6,781.30

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Why These Related Problems?

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