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Finding the Fourth Proportional to 6,412.30, 8,847.90 and 4,284.42

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Solution

The fourth proportional to 6,412.30, 8,847.90 and 4,284.42 is: 5,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.30 : 8,847.90 = 4,284.42 : x
  2. Step 2: Convert to fraction form
    6,412.30/8,847.90 = 4,284.42/x
  3. Step 3: Cross multiply
    6,412.30x = 8,847.90 × 4,284.42
  4. Step 4: Simplify right side
    6,412.30x = 37,908,075.48
  5. Step 5: Solve for x
    x = 37,908,075.48/6,412.30
  6. Step 6: Final answer
    x = 5,911.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.