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Finding the Fourth Proportional to 9,182.16, 12,671.64 and 5,405.58

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Solution

The fourth proportional to 9,182.16, 12,671.64 and 5,405.58 is: 7,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.16 : 12,671.64 = 5,405.58 : x
  2. Step 2: Convert to fraction form
    9,182.16/12,671.64 = 5,405.58/x
  3. Step 3: Cross multiply
    9,182.16x = 12,671.64 × 5,405.58
  4. Step 4: Simplify right side
    9,182.16x = 68,497,563.75
  5. Step 5: Solve for x
    x = 68,497,563.75/9,182.16
  6. Step 6: Final answer
    x = 7,459.85

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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.