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Finding the Fourth Proportional to 9,482.18, 14,241.72 and 7,728.48

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Solution

The fourth proportional to 9,482.18, 14,241.72 and 7,728.48 is: 11,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.18 : 14,241.72 = 7,728.48 : x
  2. Step 2: Convert to fraction form
    9,482.18/14,241.72 = 7,728.48/x
  3. Step 3: Cross multiply
    9,482.18x = 14,241.72 × 7,728.48
  4. Step 4: Simplify right side
    9,482.18x = 110,066,776.98
  5. Step 5: Solve for x
    x = 110,066,776.98/9,482.18
  6. Step 6: Final answer
    x = 11,607.76

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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.