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Finding the Fourth Proportional to 9,399.16, 14,098.74 and 3,158.68

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Solution

The fourth proportional to 9,399.16, 14,098.74 and 3,158.68 is: 4,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.16 : 14,098.74 = 3,158.68 : x
  2. Step 2: Convert to fraction form
    9,399.16/14,098.74 = 3,158.68/x
  3. Step 3: Cross multiply
    9,399.16x = 14,098.74 × 3,158.68
  4. Step 4: Simplify right side
    9,399.16x = 44,533,408.06
  5. Step 5: Solve for x
    x = 44,533,408.06/9,399.16
  6. Step 6: Final answer
    x = 4,738.02

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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.