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Finding the Fourth Proportional to 6,433.35, 8,878.64 and 4,642.30

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Solution

The fourth proportional to 6,433.35, 8,878.64 and 4,642.30 is: 6,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.35 : 8,878.64 = 4,642.30 : x
  2. Step 2: Convert to fraction form
    6,433.35/8,878.64 = 4,642.30/x
  3. Step 3: Cross multiply
    6,433.35x = 8,878.64 × 4,642.30
  4. Step 4: Simplify right side
    6,433.35x = 41,217,310.47
  5. Step 5: Solve for x
    x = 41,217,310.47/6,433.35
  6. Step 6: Final answer
    x = 6,406.82

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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.