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Finding the Fourth Proportional to 9,676.96, 13,354.08 and 5,698.24

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Solution

The fourth proportional to 9,676.96, 13,354.08 and 5,698.24 is: 7,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.96 : 13,354.08 = 5,698.24 : x
  2. Step 2: Convert to fraction form
    9,676.96/13,354.08 = 5,698.24/x
  3. Step 3: Cross multiply
    9,676.96x = 13,354.08 × 5,698.24
  4. Step 4: Simplify right side
    9,676.96x = 76,094,752.82
  5. Step 5: Solve for x
    x = 76,094,752.82/9,676.96
  6. Step 6: Final answer
    x = 7,863.50

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