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Finding the Fourth Proportional to 9,880.41, 13,630.86 and 6,476.49

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Solution

The fourth proportional to 9,880.41, 13,630.86 and 6,476.49 is: 8,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.41 : 13,630.86 = 6,476.49 : x
  2. Step 2: Convert to fraction form
    9,880.41/13,630.86 = 6,476.49/x
  3. Step 3: Cross multiply
    9,880.41x = 13,630.86 × 6,476.49
  4. Step 4: Simplify right side
    9,880.41x = 88,280,128.48
  5. Step 5: Solve for x
    x = 88,280,128.48/9,880.41
  6. Step 6: Final answer
    x = 8,934.86

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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.