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Finding the Fourth Proportional to 9,450.30, 13,035.46 and 5,670.88

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Solution

The fourth proportional to 9,450.30, 13,035.46 and 5,670.88 is: 7,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.30 : 13,035.46 = 5,670.88 : x
  2. Step 2: Convert to fraction form
    9,450.30/13,035.46 = 5,670.88/x
  3. Step 3: Cross multiply
    9,450.30x = 13,035.46 × 5,670.88
  4. Step 4: Simplify right side
    9,450.30x = 73,922,529.40
  5. Step 5: Solve for x
    x = 73,922,529.40/9,450.30
  6. Step 6: Final answer
    x = 7,822.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.