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Finding the Fourth Proportional to 6,314.95, 9,471.75 and 1,932.40

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Solution

The fourth proportional to 6,314.95, 9,471.75 and 1,932.40 is: 2,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.95 : 9,471.75 = 1,932.40 : x
  2. Step 2: Convert to fraction form
    6,314.95/9,471.75 = 1,932.40/x
  3. Step 3: Cross multiply
    6,314.95x = 9,471.75 × 1,932.40
  4. Step 4: Simplify right side
    6,314.95x = 18,303,209.70
  5. Step 5: Solve for x
    x = 18,303,209.70/6,314.95
  6. Step 6: Final answer
    x = 2,898.39

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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.