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Finding the Fourth Proportional to 9,158.40, 13,737.60 and 3,314.25

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Solution

The fourth proportional to 9,158.40, 13,737.60 and 3,314.25 is: 4,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.40 : 13,737.60 = 3,314.25 : x
  2. Step 2: Convert to fraction form
    9,158.40/13,737.60 = 3,314.25/x
  3. Step 3: Cross multiply
    9,158.40x = 13,737.60 × 3,314.25
  4. Step 4: Simplify right side
    9,158.40x = 45,529,840.80
  5. Step 5: Solve for x
    x = 45,529,840.80/9,158.40
  6. Step 6: Final answer
    x = 4,971.38

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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.