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Finding the Fourth Proportional to 9,013.56, 13,488.66 and 7,796.28

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Solution

The fourth proportional to 9,013.56, 13,488.66 and 7,796.28 is: 11,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.56 : 13,488.66 = 7,796.28 : x
  2. Step 2: Convert to fraction form
    9,013.56/13,488.66 = 7,796.28/x
  3. Step 3: Cross multiply
    9,013.56x = 13,488.66 × 7,796.28
  4. Step 4: Simplify right side
    9,013.56x = 105,161,370.18
  5. Step 5: Solve for x
    x = 105,161,370.18/9,013.56
  6. Step 6: Final answer
    x = 11,667.02

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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.