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Finding the Fourth Proportional to 9,180.99, 12,670.31 and 5,148.16

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Solution

The fourth proportional to 9,180.99, 12,670.31 and 5,148.16 is: 7,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.99 : 12,670.31 = 5,148.16 : x
  2. Step 2: Convert to fraction form
    9,180.99/12,670.31 = 5,148.16/x
  3. Step 3: Cross multiply
    9,180.99x = 12,670.31 × 5,148.16
  4. Step 4: Simplify right side
    9,180.99x = 65,228,764.32
  5. Step 5: Solve for x
    x = 65,228,764.32/9,180.99
  6. Step 6: Final answer
    x = 7,104.76

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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.