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Finding the Fourth Proportional to 6,420.14, 8,854.89 and 4,434.02

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Solution

The fourth proportional to 6,420.14, 8,854.89 and 4,434.02 is: 6,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.14 : 8,854.89 = 4,434.02 : x
  2. Step 2: Convert to fraction form
    6,420.14/8,854.89 = 4,434.02/x
  3. Step 3: Cross multiply
    6,420.14x = 8,854.89 × 4,434.02
  4. Step 4: Simplify right side
    6,420.14x = 39,262,759.36
  5. Step 5: Solve for x
    x = 39,262,759.36/6,420.14
  6. Step 6: Final answer
    x = 6,115.56

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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.