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Finding the Fourth Proportional to 6,323.64, 9,487.30 and 1,941.75

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Solution

The fourth proportional to 6,323.64, 9,487.30 and 1,941.75 is: 2,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.64 : 9,487.30 = 1,941.75 : x
  2. Step 2: Convert to fraction form
    6,323.64/9,487.30 = 1,941.75/x
  3. Step 3: Cross multiply
    6,323.64x = 9,487.30 × 1,941.75
  4. Step 4: Simplify right side
    6,323.64x = 18,421,964.78
  5. Step 5: Solve for x
    x = 18,421,964.78/6,323.64
  6. Step 6: Final answer
    x = 2,913.19

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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.