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Finding the Fourth Proportional to 9,340, 14,014.02 and 3,495.88

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Solution

The fourth proportional to 9,340, 14,014.02 and 3,495.88 is: 5,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340 : 14,014.02 = 3,495.88 : x
  2. Step 2: Convert to fraction form
    9,340/14,014.02 = 3,495.88/x
  3. Step 3: Cross multiply
    9,340x = 14,014.02 × 3,495.88
  4. Step 4: Simplify right side
    9,340x = 48,991,332.24
  5. Step 5: Solve for x
    x = 48,991,332.24/9,340
  6. Step 6: Final answer
    x = 5,245.32

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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.