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Finding the Fourth Proportional to 6,429.09, 8,870.76 and 3,774.96

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Solution

The fourth proportional to 6,429.09, 8,870.76 and 3,774.96 is: 5,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.09 : 8,870.76 = 3,774.96 : x
  2. Step 2: Convert to fraction form
    6,429.09/8,870.76 = 3,774.96/x
  3. Step 3: Cross multiply
    6,429.09x = 8,870.76 × 3,774.96
  4. Step 4: Simplify right side
    6,429.09x = 33,486,764.17
  5. Step 5: Solve for x
    x = 33,486,764.17/6,429.09
  6. Step 6: Final answer
    x = 5,208.63

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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.