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Finding the Fourth Proportional to 7,005.12, 9,667.98 and 4,020.36

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Solution

The fourth proportional to 7,005.12, 9,667.98 and 4,020.36 is: 5,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.12 : 9,667.98 = 4,020.36 : x
  2. Step 2: Convert to fraction form
    7,005.12/9,667.98 = 4,020.36/x
  3. Step 3: Cross multiply
    7,005.12x = 9,667.98 × 4,020.36
  4. Step 4: Simplify right side
    7,005.12x = 38,868,760.07
  5. Step 5: Solve for x
    x = 38,868,760.07/7,005.12
  6. Step 6: Final answer
    x = 5,548.62

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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.