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Finding the Fourth Proportional to 9,356.70, 14,027.65 and 4,674.12

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Solution

The fourth proportional to 9,356.70, 14,027.65 and 4,674.12 is: 7,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.70 : 14,027.65 = 4,674.12 : x
  2. Step 2: Convert to fraction form
    9,356.70/14,027.65 = 4,674.12/x
  3. Step 3: Cross multiply
    9,356.70x = 14,027.65 × 4,674.12
  4. Step 4: Simplify right side
    9,356.70x = 65,566,934.03
  5. Step 5: Solve for x
    x = 65,566,934.03/9,356.70
  6. Step 6: Final answer
    x = 7,007.49

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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.