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Finding the Fourth Proportional to 9,116.98, 13,670.00 and 4,180.44

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Solution

The fourth proportional to 9,116.98, 13,670.00 and 4,180.44 is: 6,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.98 : 13,670.00 = 4,180.44 : x
  2. Step 2: Convert to fraction form
    9,116.98/13,670.00 = 4,180.44/x
  3. Step 3: Cross multiply
    9,116.98x = 13,670.00 × 4,180.44
  4. Step 4: Simplify right side
    9,116.98x = 57,146,573.99
  5. Step 5: Solve for x
    x = 57,146,573.99/9,116.98
  6. Step 6: Final answer
    x = 6,268.15

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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.