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Finding the Fourth Proportional to 9,158.40, 13,741.98 and 6,351.54

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Solution

The fourth proportional to 9,158.40, 13,741.98 and 6,351.54 is: 9,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.40 : 13,741.98 = 6,351.54 : x
  2. Step 2: Convert to fraction form
    9,158.40/13,741.98 = 6,351.54/x
  3. Step 3: Cross multiply
    9,158.40x = 13,741.98 × 6,351.54
  4. Step 4: Simplify right side
    9,158.40x = 87,282,735.65
  5. Step 5: Solve for x
    x = 87,282,735.65/9,158.40
  6. Step 6: Final answer
    x = 9,530.35

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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.