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Finding the Fourth Proportional to 9,815.73, 13,550.13 and 6,460.31

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Solution

The fourth proportional to 9,815.73, 13,550.13 and 6,460.31 is: 8,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.73 : 13,550.13 = 6,460.31 : x
  2. Step 2: Convert to fraction form
    9,815.73/13,550.13 = 6,460.31/x
  3. Step 3: Cross multiply
    9,815.73x = 13,550.13 × 6,460.31
  4. Step 4: Simplify right side
    9,815.73x = 87,537,972.59
  5. Step 5: Solve for x
    x = 87,537,972.59/9,815.73
  6. Step 6: Final answer
    x = 8,918.13

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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.