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Finding the Fourth Proportional to 6,317.40, 8,715.57 and 3,664.32

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Solution

The fourth proportional to 6,317.40, 8,715.57 and 3,664.32 is: 5,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.40 : 8,715.57 = 3,664.32 : x
  2. Step 2: Convert to fraction form
    6,317.40/8,715.57 = 3,664.32/x
  3. Step 3: Cross multiply
    6,317.40x = 8,715.57 × 3,664.32
  4. Step 4: Simplify right side
    6,317.40x = 31,936,637.46
  5. Step 5: Solve for x
    x = 31,936,637.46/6,317.40
  6. Step 6: Final answer
    x = 5,055.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.