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Finding the Fourth Proportional to 9,707.87, 14,558.98 and 3,783.44

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Solution

The fourth proportional to 9,707.87, 14,558.98 and 3,783.44 is: 5,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.87 : 14,558.98 = 3,783.44 : x
  2. Step 2: Convert to fraction form
    9,707.87/14,558.98 = 3,783.44/x
  3. Step 3: Cross multiply
    9,707.87x = 14,558.98 × 3,783.44
  4. Step 4: Simplify right side
    9,707.87x = 55,082,954.50
  5. Step 5: Solve for x
    x = 55,082,954.50/9,707.87
  6. Step 6: Final answer
    x = 5,674.05

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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.