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Finding the Fourth Proportional to 9,655.38, 14,482.89 and 4,112.46

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Solution

The fourth proportional to 9,655.38, 14,482.89 and 4,112.46 is: 6,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.38 : 14,482.89 = 4,112.46 : x
  2. Step 2: Convert to fraction form
    9,655.38/14,482.89 = 4,112.46/x
  3. Step 3: Cross multiply
    9,655.38x = 14,482.89 × 4,112.46
  4. Step 4: Simplify right side
    9,655.38x = 59,560,305.81
  5. Step 5: Solve for x
    x = 59,560,305.81/9,655.38
  6. Step 6: Final answer
    x = 6,168.61

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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.