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Finding the Fourth Proportional to 6,417.87, 9,622.65 and 4,219.94

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Solution

The fourth proportional to 6,417.87, 9,622.65 and 4,219.94 is: 6,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.87 : 9,622.65 = 4,219.94 : x
  2. Step 2: Convert to fraction form
    6,417.87/9,622.65 = 4,219.94/x
  3. Step 3: Cross multiply
    6,417.87x = 9,622.65 × 4,219.94
  4. Step 4: Simplify right side
    6,417.87x = 40,606,973.35
  5. Step 5: Solve for x
    x = 40,606,973.35/6,417.87
  6. Step 6: Final answer
    x = 6,327.17

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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.