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Finding the Fourth Proportional to 9,378.82, 14,074.44 and 4,999.42

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Solution

The fourth proportional to 9,378.82, 14,074.44 and 4,999.42 is: 7,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.82 : 14,074.44 = 4,999.42 : x
  2. Step 2: Convert to fraction form
    9,378.82/14,074.44 = 4,999.42/x
  3. Step 3: Cross multiply
    9,378.82x = 14,074.44 × 4,999.42
  4. Step 4: Simplify right side
    9,378.82x = 70,364,036.82
  5. Step 5: Solve for x
    x = 70,364,036.82/9,378.82
  6. Step 6: Final answer
    x = 7,502.44

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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.