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Finding the Fourth Proportional to 9,744.32, 14,612.90 and 3,502.67

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Solution

The fourth proportional to 9,744.32, 14,612.90 and 3,502.67 is: 5,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.32 : 14,612.90 = 3,502.67 : x
  2. Step 2: Convert to fraction form
    9,744.32/14,612.90 = 3,502.67/x
  3. Step 3: Cross multiply
    9,744.32x = 14,612.90 × 3,502.67
  4. Step 4: Simplify right side
    9,744.32x = 51,184,075.87
  5. Step 5: Solve for x
    x = 51,184,075.87/9,744.32
  6. Step 6: Final answer
    x = 5,252.71

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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.