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Finding the Fourth Proportional to 9,182.17, 12,671.62 and 5,405.53

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Solution

The fourth proportional to 9,182.17, 12,671.62 and 5,405.53 is: 7,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.17 : 12,671.62 = 5,405.53 : x
  2. Step 2: Convert to fraction form
    9,182.17/12,671.62 = 5,405.53/x
  3. Step 3: Cross multiply
    9,182.17x = 12,671.62 × 5,405.53
  4. Step 4: Simplify right side
    9,182.17x = 68,496,822.06
  5. Step 5: Solve for x
    x = 68,496,822.06/9,182.17
  6. Step 6: Final answer
    x = 7,459.76

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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.