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Finding the Fourth Proportional to 6,430.84, 9,646.97 and 2,047.28

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Solution

The fourth proportional to 6,430.84, 9,646.97 and 2,047.28 is: 3,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.84 : 9,646.97 = 2,047.28 : x
  2. Step 2: Convert to fraction form
    6,430.84/9,646.97 = 2,047.28/x
  3. Step 3: Cross multiply
    6,430.84x = 9,646.97 × 2,047.28
  4. Step 4: Simplify right side
    6,430.84x = 19,749,990.27
  5. Step 5: Solve for x
    x = 19,749,990.27/6,430.84
  6. Step 6: Final answer
    x = 3,071.14

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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.