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Finding the Fourth Proportional to 9,182.94, 12,672.18 and 5,405.24

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Solution

The fourth proportional to 9,182.94, 12,672.18 and 5,405.24 is: 7,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.94 : 12,672.18 = 5,405.24 : x
  2. Step 2: Convert to fraction form
    9,182.94/12,672.18 = 5,405.24/x
  3. Step 3: Cross multiply
    9,182.94x = 12,672.18 × 5,405.24
  4. Step 4: Simplify right side
    9,182.94x = 68,496,110.86
  5. Step 5: Solve for x
    x = 68,496,110.86/9,182.94
  6. Step 6: Final answer
    x = 7,459.06

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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.