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Finding the Fourth Proportional to 9,404, 14,096.40 and 4,474.16

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Solution

The fourth proportional to 9,404, 14,096.40 and 4,474.16 is: 6,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404 : 14,096.40 = 4,474.16 : x
  2. Step 2: Convert to fraction form
    9,404/14,096.40 = 4,474.16/x
  3. Step 3: Cross multiply
    9,404x = 14,096.40 × 4,474.16
  4. Step 4: Simplify right side
    9,404x = 63,069,549.02
  5. Step 5: Solve for x
    x = 63,069,549.02/9,404
  6. Step 6: Final answer
    x = 6,706.67

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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.