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Finding the Fourth Proportional to 9,823.40, 14,735.10 and 5,676.20

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Solution

The fourth proportional to 9,823.40, 14,735.10 and 5,676.20 is: 8,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.40 : 14,735.10 = 5,676.20 : x
  2. Step 2: Convert to fraction form
    9,823.40/14,735.10 = 5,676.20/x
  3. Step 3: Cross multiply
    9,823.40x = 14,735.10 × 5,676.20
  4. Step 4: Simplify right side
    9,823.40x = 83,639,374.62
  5. Step 5: Solve for x
    x = 83,639,374.62/9,823.40
  6. Step 6: Final answer
    x = 8,514.30

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