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Finding the Fourth Proportional to 9,378.45, 14,071.32 and 9,237.67

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Solution

The fourth proportional to 9,378.45, 14,071.32 and 9,237.67 is: 13,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.45 : 14,071.32 = 9,237.67 : x
  2. Step 2: Convert to fraction form
    9,378.45/14,071.32 = 9,237.67/x
  3. Step 3: Cross multiply
    9,378.45x = 14,071.32 × 9,237.67
  4. Step 4: Simplify right side
    9,378.45x = 129,986,175.45
  5. Step 5: Solve for x
    x = 129,986,175.45/9,378.45
  6. Step 6: Final answer
    x = 13,860.09

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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.