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Finding the Fourth Proportional to 9,802.72, 14,704.08 and 3,561.57

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Solution

The fourth proportional to 9,802.72, 14,704.08 and 3,561.57 is: 5,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.72 : 14,704.08 = 3,561.57 : x
  2. Step 2: Convert to fraction form
    9,802.72/14,704.08 = 3,561.57/x
  3. Step 3: Cross multiply
    9,802.72x = 14,704.08 × 3,561.57
  4. Step 4: Simplify right side
    9,802.72x = 52,369,610.21
  5. Step 5: Solve for x
    x = 52,369,610.21/9,802.72
  6. Step 6: Final answer
    x = 5,342.36

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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.