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Finding the Fourth Proportional to 8,976.27, 12,370.39 and 6,454

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Solution

The fourth proportional to 8,976.27, 12,370.39 and 6,454 is: 8,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.27 : 12,370.39 = 6,454 : x
  2. Step 2: Convert to fraction form
    8,976.27/12,370.39 = 6,454/x
  3. Step 3: Cross multiply
    8,976.27x = 12,370.39 × 6,454
  4. Step 4: Simplify right side
    8,976.27x = 79,838,497.06
  5. Step 5: Solve for x
    x = 79,838,497.06/8,976.27
  6. Step 6: Final answer
    x = 8,894.40

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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.