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Finding the Fourth Proportional to 9,243.51, 13,860.83 and 6,471.50

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Solution

The fourth proportional to 9,243.51, 13,860.83 and 6,471.50 is: 9,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.51 : 13,860.83 = 6,471.50 : x
  2. Step 2: Convert to fraction form
    9,243.51/13,860.83 = 6,471.50/x
  3. Step 3: Cross multiply
    9,243.51x = 13,860.83 × 6,471.50
  4. Step 4: Simplify right side
    9,243.51x = 89,700,259.68
  5. Step 5: Solve for x
    x = 89,700,259.68/9,243.51
  6. Step 6: Final answer
    x = 9,704.13

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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.