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Finding the Fourth Proportional to 9,474.71, 14,212.88 and 3,628.13

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Solution

The fourth proportional to 9,474.71, 14,212.88 and 3,628.13 is: 5,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.71 : 14,212.88 = 3,628.13 : x
  2. Step 2: Convert to fraction form
    9,474.71/14,212.88 = 3,628.13/x
  3. Step 3: Cross multiply
    9,474.71x = 14,212.88 × 3,628.13
  4. Step 4: Simplify right side
    9,474.71x = 51,566,158.17
  5. Step 5: Solve for x
    x = 51,566,158.17/9,474.71
  6. Step 6: Final answer
    x = 5,442.51

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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.