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Finding the Fourth Proportional to 9,609.70, 14,414.55 and 6,004.30

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Solution

The fourth proportional to 9,609.70, 14,414.55 and 6,004.30 is: 9,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.70 : 14,414.55 = 6,004.30 : x
  2. Step 2: Convert to fraction form
    9,609.70/14,414.55 = 6,004.30/x
  3. Step 3: Cross multiply
    9,609.70x = 14,414.55 × 6,004.30
  4. Step 4: Simplify right side
    9,609.70x = 86,549,282.57
  5. Step 5: Solve for x
    x = 86,549,282.57/9,609.70
  6. Step 6: Final answer
    x = 9,006.45

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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.