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Finding the Fourth Proportional to 9,482.40, 14,223.96 and 3,639.60

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Solution

The fourth proportional to 9,482.40, 14,223.96 and 3,639.60 is: 5,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.40 : 14,223.96 = 3,639.60 : x
  2. Step 2: Convert to fraction form
    9,482.40/14,223.96 = 3,639.60/x
  3. Step 3: Cross multiply
    9,482.40x = 14,223.96 × 3,639.60
  4. Step 4: Simplify right side
    9,482.40x = 51,769,524.82
  5. Step 5: Solve for x
    x = 51,769,524.82/9,482.40
  6. Step 6: Final answer
    x = 5,459.54

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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.