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Finding the Fourth Proportional to 9,476.58, 14,216.69 and 2,902.82

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Solution

The fourth proportional to 9,476.58, 14,216.69 and 2,902.82 is: 4,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.58 : 14,216.69 = 2,902.82 : x
  2. Step 2: Convert to fraction form
    9,476.58/14,216.69 = 2,902.82/x
  3. Step 3: Cross multiply
    9,476.58x = 14,216.69 × 2,902.82
  4. Step 4: Simplify right side
    9,476.58x = 41,268,442.01
  5. Step 5: Solve for x
    x = 41,268,442.01/9,476.58
  6. Step 6: Final answer
    x = 4,354.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.