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Finding the Fourth Proportional to 9,476.95, 14,215.43 and 5,096.47

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Solution

The fourth proportional to 9,476.95, 14,215.43 and 5,096.47 is: 7,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.95 : 14,215.43 = 5,096.47 : x
  2. Step 2: Convert to fraction form
    9,476.95/14,215.43 = 5,096.47/x
  3. Step 3: Cross multiply
    9,476.95x = 14,215.43 × 5,096.47
  4. Step 4: Simplify right side
    9,476.95x = 72,448,512.53
  5. Step 5: Solve for x
    x = 72,448,512.53/9,476.95
  6. Step 6: Final answer
    x = 7,644.71

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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.