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Finding the Fourth Proportional to 6,396.71, 8,827.29 and 3,564.09

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Solution

The fourth proportional to 6,396.71, 8,827.29 and 3,564.09 is: 4,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.71 : 8,827.29 = 3,564.09 : x
  2. Step 2: Convert to fraction form
    6,396.71/8,827.29 = 3,564.09/x
  3. Step 3: Cross multiply
    6,396.71x = 8,827.29 × 3,564.09
  4. Step 4: Simplify right side
    6,396.71x = 31,461,256.02
  5. Step 5: Solve for x
    x = 31,461,256.02/6,396.71
  6. Step 6: Final answer
    x = 4,918.35

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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.