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Finding the Fourth Proportional to 6,327.69, 9,493.55 and 3,041.02

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Solution

The fourth proportional to 6,327.69, 9,493.55 and 3,041.02 is: 4,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.69 : 9,493.55 = 3,041.02 : x
  2. Step 2: Convert to fraction form
    6,327.69/9,493.55 = 3,041.02/x
  3. Step 3: Cross multiply
    6,327.69x = 9,493.55 × 3,041.02
  4. Step 4: Simplify right side
    6,327.69x = 28,870,075.42
  5. Step 5: Solve for x
    x = 28,870,075.42/6,327.69
  6. Step 6: Final answer
    x = 4,562.50

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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.