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Finding the Fourth Proportional to 9,580.64, 13,229.58 and 7,067.10

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Solution

The fourth proportional to 9,580.64, 13,229.58 and 7,067.10 is: 9,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.64 : 13,229.58 = 7,067.10 : x
  2. Step 2: Convert to fraction form
    9,580.64/13,229.58 = 7,067.10/x
  3. Step 3: Cross multiply
    9,580.64x = 13,229.58 × 7,067.10
  4. Step 4: Simplify right side
    9,580.64x = 93,494,764.82
  5. Step 5: Solve for x
    x = 93,494,764.82/9,580.64
  6. Step 6: Final answer
    x = 9,758.72

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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.