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Finding the Fourth Proportional to 9,808.22, 13,535.06 and 5,331.84

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Solution

The fourth proportional to 9,808.22, 13,535.06 and 5,331.84 is: 7,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.22 : 13,535.06 = 5,331.84 : x
  2. Step 2: Convert to fraction form
    9,808.22/13,535.06 = 5,331.84/x
  3. Step 3: Cross multiply
    9,808.22x = 13,535.06 × 5,331.84
  4. Step 4: Simplify right side
    9,808.22x = 72,166,774.31
  5. Step 5: Solve for x
    x = 72,166,774.31/9,808.22
  6. Step 6: Final answer
    x = 7,357.79

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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.