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Finding the Fourth Proportional to 9,671.69, 13,342.92 and 5,893.47

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Solution

The fourth proportional to 9,671.69, 13,342.92 and 5,893.47 is: 8,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.69 : 13,342.92 = 5,893.47 : x
  2. Step 2: Convert to fraction form
    9,671.69/13,342.92 = 5,893.47/x
  3. Step 3: Cross multiply
    9,671.69x = 13,342.92 × 5,893.47
  4. Step 4: Simplify right side
    9,671.69x = 78,636,098.73
  5. Step 5: Solve for x
    x = 78,636,098.73/9,671.69
  6. Step 6: Final answer
    x = 8,130.55

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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.