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Finding the Fourth Proportional to 9,111.80, 13,667.70 and 7,686.20

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Solution

The fourth proportional to 9,111.80, 13,667.70 and 7,686.20 is: 11,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.80 : 13,667.70 = 7,686.20 : x
  2. Step 2: Convert to fraction form
    9,111.80/13,667.70 = 7,686.20/x
  3. Step 3: Cross multiply
    9,111.80x = 13,667.70 × 7,686.20
  4. Step 4: Simplify right side
    9,111.80x = 105,052,675.74
  5. Step 5: Solve for x
    x = 105,052,675.74/9,111.80
  6. Step 6: Final answer
    x = 11,529.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.