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Finding the Fourth Proportional to 9,777.82, 13,492.09 and 5,529.46

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Solution

The fourth proportional to 9,777.82, 13,492.09 and 5,529.46 is: 7,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.82 : 13,492.09 = 5,529.46 : x
  2. Step 2: Convert to fraction form
    9,777.82/13,492.09 = 5,529.46/x
  3. Step 3: Cross multiply
    9,777.82x = 13,492.09 × 5,529.46
  4. Step 4: Simplify right side
    9,777.82x = 74,603,971.97
  5. Step 5: Solve for x
    x = 74,603,971.97/9,777.82
  6. Step 6: Final answer
    x = 7,629.92

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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.