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Finding the Fourth Proportional to 9,144.54, 12,618.72 and 5,166

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Solution

The fourth proportional to 9,144.54, 12,618.72 and 5,166 is: 7,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.54 : 12,618.72 = 5,166 : x
  2. Step 2: Convert to fraction form
    9,144.54/12,618.72 = 5,166/x
  3. Step 3: Cross multiply
    9,144.54x = 12,618.72 × 5,166
  4. Step 4: Simplify right side
    9,144.54x = 65,188,307.52
  5. Step 5: Solve for x
    x = 65,188,307.52/9,144.54
  6. Step 6: Final answer
    x = 7,128.66

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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.