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Finding the Fourth Proportional to 9,176.70, 12,663.36 and 5,198.52

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Solution

The fourth proportional to 9,176.70, 12,663.36 and 5,198.52 is: 7,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.70 : 12,663.36 = 5,198.52 : x
  2. Step 2: Convert to fraction form
    9,176.70/12,663.36 = 5,198.52/x
  3. Step 3: Cross multiply
    9,176.70x = 12,663.36 × 5,198.52
  4. Step 4: Simplify right side
    9,176.70x = 65,830,730.23
  5. Step 5: Solve for x
    x = 65,830,730.23/9,176.70
  6. Step 6: Final answer
    x = 7,173.68

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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.