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Finding the Fourth Proportional to 9,780.48, 14,636.58 and 8,004.96

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Solution

The fourth proportional to 9,780.48, 14,636.58 and 8,004.96 is: 11,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.48 : 14,636.58 = 8,004.96 : x
  2. Step 2: Convert to fraction form
    9,780.48/14,636.58 = 8,004.96/x
  3. Step 3: Cross multiply
    9,780.48x = 14,636.58 × 8,004.96
  4. Step 4: Simplify right side
    9,780.48x = 117,165,237.44
  5. Step 5: Solve for x
    x = 117,165,237.44/9,780.48
  6. Step 6: Final answer
    x = 11,979.50

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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.