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Finding the Fourth Proportional to 6,428.76, 9,642.90 and 4,546.92

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Solution

The fourth proportional to 6,428.76, 9,642.90 and 4,546.92 is: 6,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.76 : 9,642.90 = 4,546.92 : x
  2. Step 2: Convert to fraction form
    6,428.76/9,642.90 = 4,546.92/x
  3. Step 3: Cross multiply
    6,428.76x = 9,642.90 × 4,546.92
  4. Step 4: Simplify right side
    6,428.76x = 43,845,494.87
  5. Step 5: Solve for x
    x = 43,845,494.87/6,428.76
  6. Step 6: Final answer
    x = 6,820.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.