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Finding the Fourth Proportional to 8,974.51, 12,385.23 and 5,197.84

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Solution

The fourth proportional to 8,974.51, 12,385.23 and 5,197.84 is: 7,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.51 : 12,385.23 = 5,197.84 : x
  2. Step 2: Convert to fraction form
    8,974.51/12,385.23 = 5,197.84/x
  3. Step 3: Cross multiply
    8,974.51x = 12,385.23 × 5,197.84
  4. Step 4: Simplify right side
    8,974.51x = 64,376,412.94
  5. Step 5: Solve for x
    x = 64,376,412.94/8,974.51
  6. Step 6: Final answer
    x = 7,173.25

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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.