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Finding the Fourth Proportional to 9,400.68, 12,972.84 and 5,208.90

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Solution

The fourth proportional to 9,400.68, 12,972.84 and 5,208.90 is: 7,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.68 : 12,972.84 = 5,208.90 : x
  2. Step 2: Convert to fraction form
    9,400.68/12,972.84 = 5,208.90/x
  3. Step 3: Cross multiply
    9,400.68x = 12,972.84 × 5,208.90
  4. Step 4: Simplify right side
    9,400.68x = 67,574,226.28
  5. Step 5: Solve for x
    x = 67,574,226.28/9,400.68
  6. Step 6: Final answer
    x = 7,188.23

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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.