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Finding the Fourth Proportional to 9,743.96, 13,448.90 and 6,384.86

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Solution

The fourth proportional to 9,743.96, 13,448.90 and 6,384.86 is: 8,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.96 : 13,448.90 = 6,384.86 : x
  2. Step 2: Convert to fraction form
    9,743.96/13,448.90 = 6,384.86/x
  3. Step 3: Cross multiply
    9,743.96x = 13,448.90 × 6,384.86
  4. Step 4: Simplify right side
    9,743.96x = 85,869,342.81
  5. Step 5: Solve for x
    x = 85,869,342.81/9,743.96
  6. Step 6: Final answer
    x = 8,812.57

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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.