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Finding the Fourth Proportional to 9,148.06, 12,624.16 and 5,169.09

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Solution

The fourth proportional to 9,148.06, 12,624.16 and 5,169.09 is: 7,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.06 : 12,624.16 = 5,169.09 : x
  2. Step 2: Convert to fraction form
    9,148.06/12,624.16 = 5,169.09/x
  3. Step 3: Cross multiply
    9,148.06x = 12,624.16 × 5,169.09
  4. Step 4: Simplify right side
    9,148.06x = 65,255,425.68
  5. Step 5: Solve for x
    x = 65,255,425.68/9,148.06
  6. Step 6: Final answer
    x = 7,133.25

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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.