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Finding the Fourth Proportional to 8,972.54, 12,369.28 and 6,311.69

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Solution

The fourth proportional to 8,972.54, 12,369.28 and 6,311.69 is: 8,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.54 : 12,369.28 = 6,311.69 : x
  2. Step 2: Convert to fraction form
    8,972.54/12,369.28 = 6,311.69/x
  3. Step 3: Cross multiply
    8,972.54x = 12,369.28 × 6,311.69
  4. Step 4: Simplify right side
    8,972.54x = 78,071,029.32
  5. Step 5: Solve for x
    x = 78,071,029.32/8,972.54
  6. Step 6: Final answer
    x = 8,701.11

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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.