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Finding the Fourth Proportional to 9,671.89, 13,339.60 and 6,484.09

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Solution

The fourth proportional to 9,671.89, 13,339.60 and 6,484.09 is: 8,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.89 : 13,339.60 = 6,484.09 : x
  2. Step 2: Convert to fraction form
    9,671.89/13,339.60 = 6,484.09/x
  3. Step 3: Cross multiply
    9,671.89x = 13,339.60 × 6,484.09
  4. Step 4: Simplify right side
    9,671.89x = 86,495,166.96
  5. Step 5: Solve for x
    x = 86,495,166.96/9,671.89
  6. Step 6: Final answer
    x = 8,942.94

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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.