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Finding the Fourth Proportional to 9,148.09, 12,624.61 and 5,169.12

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Solution

The fourth proportional to 9,148.09, 12,624.61 and 5,169.12 is: 7,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.09 : 12,624.61 = 5,169.12 : x
  2. Step 2: Convert to fraction form
    9,148.09/12,624.61 = 5,169.12/x
  3. Step 3: Cross multiply
    9,148.09x = 12,624.61 × 5,169.12
  4. Step 4: Simplify right side
    9,148.09x = 65,258,035.07
  5. Step 5: Solve for x
    x = 65,258,035.07/9,148.09
  6. Step 6: Final answer
    x = 7,133.52

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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.