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Finding the Fourth Proportional to 9,970.73, 13,746.82 and 8,171.58

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Solution

The fourth proportional to 9,970.73, 13,746.82 and 8,171.58 is: 11,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.73 : 13,746.82 = 8,171.58 : x
  2. Step 2: Convert to fraction form
    9,970.73/13,746.82 = 8,171.58/x
  3. Step 3: Cross multiply
    9,970.73x = 13,746.82 × 8,171.58
  4. Step 4: Simplify right side
    9,970.73x = 112,333,198.52
  5. Step 5: Solve for x
    x = 112,333,198.52/9,970.73
  6. Step 6: Final answer
    x = 11,266.30

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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.