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Finding the Fourth Proportional to 9,732.44, 13,432.01 and 6,378.09

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Solution

The fourth proportional to 9,732.44, 13,432.01 and 6,378.09 is: 8,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.44 : 13,432.01 = 6,378.09 : x
  2. Step 2: Convert to fraction form
    9,732.44/13,432.01 = 6,378.09/x
  3. Step 3: Cross multiply
    9,732.44x = 13,432.01 × 6,378.09
  4. Step 4: Simplify right side
    9,732.44x = 85,670,536.77
  5. Step 5: Solve for x
    x = 85,670,536.77/9,732.44
  6. Step 6: Final answer
    x = 8,802.58

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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.