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Finding the Fourth Proportional to 9,782.55, 14,668.53 and 3,454.26

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Solution

The fourth proportional to 9,782.55, 14,668.53 and 3,454.26 is: 5,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.55 : 14,668.53 = 3,454.26 : x
  2. Step 2: Convert to fraction form
    9,782.55/14,668.53 = 3,454.26/x
  3. Step 3: Cross multiply
    9,782.55x = 14,668.53 × 3,454.26
  4. Step 4: Simplify right side
    9,782.55x = 50,668,916.44
  5. Step 5: Solve for x
    x = 50,668,916.44/9,782.55
  6. Step 6: Final answer
    x = 5,179.52

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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.