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Finding the Fourth Proportional to 9,820.11, 13,536.87 and 7,690.98

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Solution

The fourth proportional to 9,820.11, 13,536.87 and 7,690.98 is: 10,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.11 : 13,536.87 = 7,690.98 : x
  2. Step 2: Convert to fraction form
    9,820.11/13,536.87 = 7,690.98/x
  3. Step 3: Cross multiply
    9,820.11x = 13,536.87 × 7,690.98
  4. Step 4: Simplify right side
    9,820.11x = 104,111,796.43
  5. Step 5: Solve for x
    x = 104,111,796.43/9,820.11
  6. Step 6: Final answer
    x = 10,601.90

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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.