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Finding the Fourth Proportional to 9,678.37, 14,524.04 and 4,133.01

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Solution

The fourth proportional to 9,678.37, 14,524.04 and 4,133.01 is: 6,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.37 : 14,524.04 = 4,133.01 : x
  2. Step 2: Convert to fraction form
    9,678.37/14,524.04 = 4,133.01/x
  3. Step 3: Cross multiply
    9,678.37x = 14,524.04 × 4,133.01
  4. Step 4: Simplify right side
    9,678.37x = 60,027,981.90
  5. Step 5: Solve for x
    x = 60,027,981.90/9,678.37
  6. Step 6: Final answer
    x = 6,202.28

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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.