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Finding the Fourth Proportional to 9,965.09, 13,752.79 and 7,442.82

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Solution

The fourth proportional to 9,965.09, 13,752.79 and 7,442.82 is: 10,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.09 : 13,752.79 = 7,442.82 : x
  2. Step 2: Convert to fraction form
    9,965.09/13,752.79 = 7,442.82/x
  3. Step 3: Cross multiply
    9,965.09x = 13,752.79 × 7,442.82
  4. Step 4: Simplify right side
    9,965.09x = 102,359,559.07
  5. Step 5: Solve for x
    x = 102,359,559.07/9,965.09
  6. Step 6: Final answer
    x = 10,271.82

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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.