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Finding the Fourth Proportional to 6,415.14, 8,847.99 and 4,429.02

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Solution

The fourth proportional to 6,415.14, 8,847.99 and 4,429.02 is: 6,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.14 : 8,847.99 = 4,429.02 : x
  2. Step 2: Convert to fraction form
    6,415.14/8,847.99 = 4,429.02/x
  3. Step 3: Cross multiply
    6,415.14x = 8,847.99 × 4,429.02
  4. Step 4: Simplify right side
    6,415.14x = 39,187,924.67
  5. Step 5: Solve for x
    x = 39,187,924.67/6,415.14
  6. Step 6: Final answer
    x = 6,108.66

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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.