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Finding the Fourth Proportional to 9,431.20, 13,008.72 and 6,078.28

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Solution

The fourth proportional to 9,431.20, 13,008.72 and 6,078.28 is: 8,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.20 : 13,008.72 = 6,078.28 : x
  2. Step 2: Convert to fraction form
    9,431.20/13,008.72 = 6,078.28/x
  3. Step 3: Cross multiply
    9,431.20x = 13,008.72 × 6,078.28
  4. Step 4: Simplify right side
    9,431.20x = 79,070,642.60
  5. Step 5: Solve for x
    x = 79,070,642.60/9,431.20
  6. Step 6: Final answer
    x = 8,383.94

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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.