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Finding the Fourth Proportional to 6,453.40, 9,689.10 and 4,127.80

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Solution

The fourth proportional to 6,453.40, 9,689.10 and 4,127.80 is: 6,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.40 : 9,689.10 = 4,127.80 : x
  2. Step 2: Convert to fraction form
    6,453.40/9,689.10 = 4,127.80/x
  3. Step 3: Cross multiply
    6,453.40x = 9,689.10 × 4,127.80
  4. Step 4: Simplify right side
    6,453.40x = 39,994,666.98
  5. Step 5: Solve for x
    x = 39,994,666.98/6,453.40
  6. Step 6: Final answer
    x = 6,197.46

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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.