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Finding the Fourth Proportional to 9,374.55, 14,064.26 and 4,694.37

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Solution

The fourth proportional to 9,374.55, 14,064.26 and 4,694.37 is: 7,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.55 : 14,064.26 = 4,694.37 : x
  2. Step 2: Convert to fraction form
    9,374.55/14,064.26 = 4,694.37/x
  3. Step 3: Cross multiply
    9,374.55x = 14,064.26 × 4,694.37
  4. Step 4: Simplify right side
    9,374.55x = 66,022,816.74
  5. Step 5: Solve for x
    x = 66,022,816.74/9,374.55
  6. Step 6: Final answer
    x = 7,042.77

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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.