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Finding the Fourth Proportional to 9,876.84, 13,630.38 and 5,400.88

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Solution

The fourth proportional to 9,876.84, 13,630.38 and 5,400.88 is: 7,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.84 : 13,630.38 = 5,400.88 : x
  2. Step 2: Convert to fraction form
    9,876.84/13,630.38 = 5,400.88/x
  3. Step 3: Cross multiply
    9,876.84x = 13,630.38 × 5,400.88
  4. Step 4: Simplify right side
    9,876.84x = 73,615,992.41
  5. Step 5: Solve for x
    x = 73,615,992.41/9,876.84
  6. Step 6: Final answer
    x = 7,453.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.