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Finding the Fourth Proportional to 9,832.64, 14,740.04 and 4,903.79

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Solution

The fourth proportional to 9,832.64, 14,740.04 and 4,903.79 is: 7,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.64 : 14,740.04 = 4,903.79 : x
  2. Step 2: Convert to fraction form
    9,832.64/14,740.04 = 4,903.79/x
  3. Step 3: Cross multiply
    9,832.64x = 14,740.04 × 4,903.79
  4. Step 4: Simplify right side
    9,832.64x = 72,281,987.05
  5. Step 5: Solve for x
    x = 72,281,987.05/9,832.64
  6. Step 6: Final answer
    x = 7,351.23

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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.