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Finding the Fourth Proportional to 6,477.84, 9,716.96 and 2,095.32

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Solution

The fourth proportional to 6,477.84, 9,716.96 and 2,095.32 is: 3,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.84 : 9,716.96 = 2,095.32 : x
  2. Step 2: Convert to fraction form
    6,477.84/9,716.96 = 2,095.32/x
  3. Step 3: Cross multiply
    6,477.84x = 9,716.96 × 2,095.32
  4. Step 4: Simplify right side
    6,477.84x = 20,360,140.63
  5. Step 5: Solve for x
    x = 20,360,140.63/6,477.84
  6. Step 6: Final answer
    x = 3,143.04

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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.