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Finding the Fourth Proportional to 9,814.15, 14,723.61 and 3,240.01

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Solution

The fourth proportional to 9,814.15, 14,723.61 and 3,240.01 is: 4,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.15 : 14,723.61 = 3,240.01 : x
  2. Step 2: Convert to fraction form
    9,814.15/14,723.61 = 3,240.01/x
  3. Step 3: Cross multiply
    9,814.15x = 14,723.61 × 3,240.01
  4. Step 4: Simplify right side
    9,814.15x = 47,704,643.64
  5. Step 5: Solve for x
    x = 47,704,643.64/9,814.15
  6. Step 6: Final answer
    x = 4,860.80

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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.