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Finding the Fourth Proportional to 9,212.45, 13,808.81 and 4,765.63

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Solution

The fourth proportional to 9,212.45, 13,808.81 and 4,765.63 is: 7,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.45 : 13,808.81 = 4,765.63 : x
  2. Step 2: Convert to fraction form
    9,212.45/13,808.81 = 4,765.63/x
  3. Step 3: Cross multiply
    9,212.45x = 13,808.81 × 4,765.63
  4. Step 4: Simplify right side
    9,212.45x = 65,807,748.85
  5. Step 5: Solve for x
    x = 65,807,748.85/9,212.45
  6. Step 6: Final answer
    x = 7,143.35

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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.