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Finding the Fourth Proportional to 9,287.88, 12,817.20 and 5,096.16

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Solution

The fourth proportional to 9,287.88, 12,817.20 and 5,096.16 is: 7,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.88 : 12,817.20 = 5,096.16 : x
  2. Step 2: Convert to fraction form
    9,287.88/12,817.20 = 5,096.16/x
  3. Step 3: Cross multiply
    9,287.88x = 12,817.20 × 5,096.16
  4. Step 4: Simplify right side
    9,287.88x = 65,318,501.95
  5. Step 5: Solve for x
    x = 65,318,501.95/9,287.88
  6. Step 6: Final answer
    x = 7,032.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.