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Finding the Fourth Proportional to 9,867.04, 13,619.28 and 5,676.64

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Solution

The fourth proportional to 9,867.04, 13,619.28 and 5,676.64 is: 7,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.04 : 13,619.28 = 5,676.64 : x
  2. Step 2: Convert to fraction form
    9,867.04/13,619.28 = 5,676.64/x
  3. Step 3: Cross multiply
    9,867.04x = 13,619.28 × 5,676.64
  4. Step 4: Simplify right side
    9,867.04x = 77,311,749.62
  5. Step 5: Solve for x
    x = 77,311,749.62/9,867.04
  6. Step 6: Final answer
    x = 7,835.35

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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.