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Finding the Fourth Proportional to 9,676.08, 13,354.20 and 5,485.68

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Solution

The fourth proportional to 9,676.08, 13,354.20 and 5,485.68 is: 7,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.08 : 13,354.20 = 5,485.68 : x
  2. Step 2: Convert to fraction form
    9,676.08/13,354.20 = 5,485.68/x
  3. Step 3: Cross multiply
    9,676.08x = 13,354.20 × 5,485.68
  4. Step 4: Simplify right side
    9,676.08x = 73,256,867.86
  5. Step 5: Solve for x
    x = 73,256,867.86/9,676.08
  6. Step 6: Final answer
    x = 7,570.92

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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.