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Finding the Fourth Proportional to 9,964.97, 13,752.63 and 7,442.70

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Solution

The fourth proportional to 9,964.97, 13,752.63 and 7,442.70 is: 10,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.97 : 13,752.63 = 7,442.70 : x
  2. Step 2: Convert to fraction form
    9,964.97/13,752.63 = 7,442.70/x
  3. Step 3: Cross multiply
    9,964.97x = 13,752.63 × 7,442.70
  4. Step 4: Simplify right side
    9,964.97x = 102,356,733.68
  5. Step 5: Solve for x
    x = 102,356,733.68/9,964.97
  6. Step 6: Final answer
    x = 10,271.65

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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.