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Finding the Fourth Proportional to 6,428.55, 9,646.01 and 3,141.57

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Solution

The fourth proportional to 6,428.55, 9,646.01 and 3,141.57 is: 4,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.55 : 9,646.01 = 3,141.57 : x
  2. Step 2: Convert to fraction form
    6,428.55/9,646.01 = 3,141.57/x
  3. Step 3: Cross multiply
    6,428.55x = 9,646.01 × 3,141.57
  4. Step 4: Simplify right side
    6,428.55x = 30,303,599.93
  5. Step 5: Solve for x
    x = 30,303,599.93/6,428.55
  6. Step 6: Final answer
    x = 4,713.91

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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.