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Finding the Fourth Proportional to 9,619.27, 14,428.92 and 7,683.78

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Solution

The fourth proportional to 9,619.27, 14,428.92 and 7,683.78 is: 11,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.27 : 14,428.92 = 7,683.78 : x
  2. Step 2: Convert to fraction form
    9,619.27/14,428.92 = 7,683.78/x
  3. Step 3: Cross multiply
    9,619.27x = 14,428.92 × 7,683.78
  4. Step 4: Simplify right side
    9,619.27x = 110,868,605.46
  5. Step 5: Solve for x
    x = 110,868,605.46/9,619.27
  6. Step 6: Final answer
    x = 11,525.67

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Similar ratio
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1.5x scale

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.