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Finding the Fourth Proportional to 9,968.82, 13,746.56 and 7,446.98

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Solution

The fourth proportional to 9,968.82, 13,746.56 and 7,446.98 is: 10,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.82 : 13,746.56 = 7,446.98 : x
  2. Step 2: Convert to fraction form
    9,968.82/13,746.56 = 7,446.98/x
  3. Step 3: Cross multiply
    9,968.82x = 13,746.56 × 7,446.98
  4. Step 4: Simplify right side
    9,968.82x = 102,370,357.39
  5. Step 5: Solve for x
    x = 102,370,357.39/9,968.82
  6. Step 6: Final answer
    x = 10,269.05

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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.