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Finding the Fourth Proportional to 6,428.39, 9,643.67 and 2,047.19

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Solution

The fourth proportional to 6,428.39, 9,643.67 and 2,047.19 is: 3,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.39 : 9,643.67 = 2,047.19 : x
  2. Step 2: Convert to fraction form
    6,428.39/9,643.67 = 2,047.19/x
  3. Step 3: Cross multiply
    6,428.39x = 9,643.67 × 2,047.19
  4. Step 4: Simplify right side
    6,428.39x = 19,742,446.34
  5. Step 5: Solve for x
    x = 19,742,446.34/6,428.39
  6. Step 6: Final answer
    x = 3,071.13

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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.