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Finding the Fourth Proportional to 6,419.81, 9,635.18 and 2,526.95

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Solution

The fourth proportional to 6,419.81, 9,635.18 and 2,526.95 is: 3,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.81 : 9,635.18 = 2,526.95 : x
  2. Step 2: Convert to fraction form
    6,419.81/9,635.18 = 2,526.95/x
  3. Step 3: Cross multiply
    6,419.81x = 9,635.18 × 2,526.95
  4. Step 4: Simplify right side
    6,419.81x = 24,347,618.10
  5. Step 5: Solve for x
    x = 24,347,618.10/6,419.81
  6. Step 6: Final answer
    x = 3,792.58

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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.