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Finding the Fourth Proportional to 9,400.74, 14,096.76 and 5,017.02

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Solution

The fourth proportional to 9,400.74, 14,096.76 and 5,017.02 is: 7,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.74 : 14,096.76 = 5,017.02 : x
  2. Step 2: Convert to fraction form
    9,400.74/14,096.76 = 5,017.02/x
  3. Step 3: Cross multiply
    9,400.74x = 14,096.76 × 5,017.02
  4. Step 4: Simplify right side
    9,400.74x = 70,723,726.86
  5. Step 5: Solve for x
    x = 70,723,726.86/9,400.74
  6. Step 6: Final answer
    x = 7,523.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.