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Finding the Fourth Proportional to 9,148, 12,626.07 and 5,169.16

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Solution

The fourth proportional to 9,148, 12,626.07 and 5,169.16 is: 7,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148 : 12,626.07 = 5,169.16 : x
  2. Step 2: Convert to fraction form
    9,148/12,626.07 = 5,169.16/x
  3. Step 3: Cross multiply
    9,148x = 12,626.07 × 5,169.16
  4. Step 4: Simplify right side
    9,148x = 65,266,176.00
  5. Step 5: Solve for x
    x = 65,266,176.00/9,148
  6. Step 6: Final answer
    x = 7,134.47

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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.