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Finding the Fourth Proportional to 6,402.81, 8,835.17 and 3,569.94

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Solution

The fourth proportional to 6,402.81, 8,835.17 and 3,569.94 is: 4,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.81 : 8,835.17 = 3,569.94 : x
  2. Step 2: Convert to fraction form
    6,402.81/8,835.17 = 3,569.94/x
  3. Step 3: Cross multiply
    6,402.81x = 8,835.17 × 3,569.94
  4. Step 4: Simplify right side
    6,402.81x = 31,541,008.94
  5. Step 5: Solve for x
    x = 31,541,008.94/6,402.81
  6. Step 6: Final answer
    x = 4,926.12

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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.