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Finding the Fourth Proportional to 9,668.63, 14,508.53 and 5,226.31

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Solution

The fourth proportional to 9,668.63, 14,508.53 and 5,226.31 is: 7,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.63 : 14,508.53 = 5,226.31 : x
  2. Step 2: Convert to fraction form
    9,668.63/14,508.53 = 5,226.31/x
  3. Step 3: Cross multiply
    9,668.63x = 14,508.53 × 5,226.31
  4. Step 4: Simplify right side
    9,668.63x = 75,826,075.42
  5. Step 5: Solve for x
    x = 75,826,075.42/9,668.63
  6. Step 6: Final answer
    x = 7,842.48

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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.