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Finding the Fourth Proportional to 9,212.40, 13,813.20 and 6,294.24

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Solution

The fourth proportional to 9,212.40, 13,813.20 and 6,294.24 is: 9,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.40 : 13,813.20 = 6,294.24 : x
  2. Step 2: Convert to fraction form
    9,212.40/13,813.20 = 6,294.24/x
  3. Step 3: Cross multiply
    9,212.40x = 13,813.20 × 6,294.24
  4. Step 4: Simplify right side
    9,212.40x = 86,943,595.97
  5. Step 5: Solve for x
    x = 86,943,595.97/9,212.40
  6. Step 6: Final answer
    x = 9,437.67

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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.