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Finding the Fourth Proportional to 6,431.47, 9,647.10 and 2,048.90

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Solution

The fourth proportional to 6,431.47, 9,647.10 and 2,048.90 is: 3,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.47 : 9,647.10 = 2,048.90 : x
  2. Step 2: Convert to fraction form
    6,431.47/9,647.10 = 2,048.90/x
  3. Step 3: Cross multiply
    6,431.47x = 9,647.10 × 2,048.90
  4. Step 4: Simplify right side
    6,431.47x = 19,765,894.95
  5. Step 5: Solve for x
    x = 19,765,894.95/6,431.47
  6. Step 6: Final answer
    x = 3,073.31

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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.