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Finding the Fourth Proportional to 9,429.62, 13,005.36 and 6,072.71

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Solution

The fourth proportional to 9,429.62, 13,005.36 and 6,072.71 is: 8,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.62 : 13,005.36 = 6,072.71 : x
  2. Step 2: Convert to fraction form
    9,429.62/13,005.36 = 6,072.71/x
  3. Step 3: Cross multiply
    9,429.62x = 13,005.36 × 6,072.71
  4. Step 4: Simplify right side
    9,429.62x = 78,977,714.70
  5. Step 5: Solve for x
    x = 78,977,714.70/9,429.62
  6. Step 6: Final answer
    x = 8,375.50

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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.