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Finding the Fourth Proportional to 9,694, 14,541.48 and 3,119.68

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Solution

The fourth proportional to 9,694, 14,541.48 and 3,119.68 is: 4,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694 : 14,541.48 = 3,119.68 : x
  2. Step 2: Convert to fraction form
    9,694/14,541.48 = 3,119.68/x
  3. Step 3: Cross multiply
    9,694x = 14,541.48 × 3,119.68
  4. Step 4: Simplify right side
    9,694x = 45,364,764.33
  5. Step 5: Solve for x
    x = 45,364,764.33/9,694
  6. Step 6: Final answer
    x = 4,679.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.