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Finding the Fourth Proportional to 9,540.63, 13,166.82 and 5,292.09

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Solution

The fourth proportional to 9,540.63, 13,166.82 and 5,292.09 is: 7,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.63 : 13,166.82 = 5,292.09 : x
  2. Step 2: Convert to fraction form
    9,540.63/13,166.82 = 5,292.09/x
  3. Step 3: Cross multiply
    9,540.63x = 13,166.82 × 5,292.09
  4. Step 4: Simplify right side
    9,540.63x = 69,679,996.45
  5. Step 5: Solve for x
    x = 69,679,996.45/9,540.63
  6. Step 6: Final answer
    x = 7,303.50

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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.