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Finding the Fourth Proportional to 9,486.96, 14,232.72 and 6,718.98

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Solution

The fourth proportional to 9,486.96, 14,232.72 and 6,718.98 is: 10,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.96 : 14,232.72 = 6,718.98 : x
  2. Step 2: Convert to fraction form
    9,486.96/14,232.72 = 6,718.98/x
  3. Step 3: Cross multiply
    9,486.96x = 14,232.72 × 6,718.98
  4. Step 4: Simplify right side
    9,486.96x = 95,629,361.03
  5. Step 5: Solve for x
    x = 95,629,361.03/9,486.96
  6. Step 6: Final answer
    x = 10,080.08

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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.