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Finding the Fourth Proportional to 9,743.80, 14,615.70 and 9,614.20

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Solution

The fourth proportional to 9,743.80, 14,615.70 and 9,614.20 is: 14,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.80 : 14,615.70 = 9,614.20 : x
  2. Step 2: Convert to fraction form
    9,743.80/14,615.70 = 9,614.20/x
  3. Step 3: Cross multiply
    9,743.80x = 14,615.70 × 9,614.20
  4. Step 4: Simplify right side
    9,743.80x = 140,518,262.94
  5. Step 5: Solve for x
    x = 140,518,262.94/9,743.80
  6. Step 6: Final answer
    x = 14,421.30

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Similar ratio
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1.5x scale

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.