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Finding the Fourth Proportional to 9,079.96, 13,610.32 and 5,176

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Solution

The fourth proportional to 9,079.96, 13,610.32 and 5,176 is: 7,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.96 : 13,610.32 = 5,176 : x
  2. Step 2: Convert to fraction form
    9,079.96/13,610.32 = 5,176/x
  3. Step 3: Cross multiply
    9,079.96x = 13,610.32 × 5,176
  4. Step 4: Simplify right side
    9,079.96x = 70,447,016.32
  5. Step 5: Solve for x
    x = 70,447,016.32/9,079.96
  6. Step 6: Final answer
    x = 7,758.52

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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.