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Finding the Fourth Proportional to 9,789.16, 14,676.57 and 6,283.12

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Solution

The fourth proportional to 9,789.16, 14,676.57 and 6,283.12 is: 9,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.16 : 14,676.57 = 6,283.12 : x
  2. Step 2: Convert to fraction form
    9,789.16/14,676.57 = 6,283.12/x
  3. Step 3: Cross multiply
    9,789.16x = 14,676.57 × 6,283.12
  4. Step 4: Simplify right side
    9,789.16x = 92,214,650.50
  5. Step 5: Solve for x
    x = 92,214,650.50/9,789.16
  6. Step 6: Final answer
    x = 9,420.08

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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.