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Finding the Fourth Proportional to 9,695.63, 14,543.44 and 3,122.48

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Solution

The fourth proportional to 9,695.63, 14,543.44 and 3,122.48 is: 4,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.63 : 14,543.44 = 3,122.48 : x
  2. Step 2: Convert to fraction form
    9,695.63/14,543.44 = 3,122.48/x
  3. Step 3: Cross multiply
    9,695.63x = 14,543.44 × 3,122.48
  4. Step 4: Simplify right side
    9,695.63x = 45,411,520.01
  5. Step 5: Solve for x
    x = 45,411,520.01/9,695.63
  6. Step 6: Final answer
    x = 4,683.71

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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.