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Finding the Fourth Proportional to 6,635.71, 9,931.68 and 3,669.59

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Solution

The fourth proportional to 6,635.71, 9,931.68 and 3,669.59 is: 5,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.71 : 9,931.68 = 3,669.59 : x
  2. Step 2: Convert to fraction form
    6,635.71/9,931.68 = 3,669.59/x
  3. Step 3: Cross multiply
    6,635.71x = 9,931.68 × 3,669.59
  4. Step 4: Simplify right side
    6,635.71x = 36,445,193.61
  5. Step 5: Solve for x
    x = 36,445,193.61/6,635.71
  6. Step 6: Final answer
    x = 5,492.28

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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.