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Finding the Fourth Proportional to 9,671.19, 13,346.37 and 5,893.86

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Solution

The fourth proportional to 9,671.19, 13,346.37 and 5,893.86 is: 8,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.19 : 13,346.37 = 5,893.86 : x
  2. Step 2: Convert to fraction form
    9,671.19/13,346.37 = 5,893.86/x
  3. Step 3: Cross multiply
    9,671.19x = 13,346.37 × 5,893.86
  4. Step 4: Simplify right side
    9,671.19x = 78,661,636.29
  5. Step 5: Solve for x
    x = 78,661,636.29/9,671.19
  6. Step 6: Final answer
    x = 8,133.60

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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.