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Finding the Fourth Proportional to 9,876.72, 14,798.24 and 8,630.40

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Solution

The fourth proportional to 9,876.72, 14,798.24 and 8,630.40 is: 12,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.72 : 14,798.24 = 8,630.40 : x
  2. Step 2: Convert to fraction form
    9,876.72/14,798.24 = 8,630.40/x
  3. Step 3: Cross multiply
    9,876.72x = 14,798.24 × 8,630.40
  4. Step 4: Simplify right side
    9,876.72x = 127,714,730.50
  5. Step 5: Solve for x
    x = 127,714,730.50/9,876.72
  6. Step 6: Final answer
    x = 12,930.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.