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Finding the Fourth Proportional to 6,417.01, 9,621.87 and 3,821.77

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Solution

The fourth proportional to 6,417.01, 9,621.87 and 3,821.77 is: 5,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.01 : 9,621.87 = 3,821.77 : x
  2. Step 2: Convert to fraction form
    6,417.01/9,621.87 = 3,821.77/x
  3. Step 3: Cross multiply
    6,417.01x = 9,621.87 × 3,821.77
  4. Step 4: Simplify right side
    6,417.01x = 36,772,574.11
  5. Step 5: Solve for x
    x = 36,772,574.11/6,417.01
  6. Step 6: Final answer
    x = 5,730.48

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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.