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Finding the Fourth Proportional to 9,477, 14,207.40 and 5,313.60

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Solution

The fourth proportional to 9,477, 14,207.40 and 5,313.60 is: 7,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477 : 14,207.40 = 5,313.60 : x
  2. Step 2: Convert to fraction form
    9,477/14,207.40 = 5,313.60/x
  3. Step 3: Cross multiply
    9,477x = 14,207.40 × 5,313.60
  4. Step 4: Simplify right side
    9,477x = 75,492,440.64
  5. Step 5: Solve for x
    x = 75,492,440.64/9,477
  6. Step 6: Final answer
    x = 7,965.86

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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.