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Finding the Fourth Proportional to 9,366.16, 12,924.20 and 5,174.16

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Solution

The fourth proportional to 9,366.16, 12,924.20 and 5,174.16 is: 7,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.16 : 12,924.20 = 5,174.16 : x
  2. Step 2: Convert to fraction form
    9,366.16/12,924.20 = 5,174.16/x
  3. Step 3: Cross multiply
    9,366.16x = 12,924.20 × 5,174.16
  4. Step 4: Simplify right side
    9,366.16x = 66,871,878.67
  5. Step 5: Solve for x
    x = 66,871,878.67/9,366.16
  6. Step 6: Final answer
    x = 7,139.73

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