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Finding the Fourth Proportional to 7,190.25, 9,923.16 and 4,047.05

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Solution

The fourth proportional to 7,190.25, 9,923.16 and 4,047.05 is: 5,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.25 : 9,923.16 = 4,047.05 : x
  2. Step 2: Convert to fraction form
    7,190.25/9,923.16 = 4,047.05/x
  3. Step 3: Cross multiply
    7,190.25x = 9,923.16 × 4,047.05
  4. Step 4: Simplify right side
    7,190.25x = 40,159,475.06
  5. Step 5: Solve for x
    x = 40,159,475.06/7,190.25
  6. Step 6: Final answer
    x = 5,585.27

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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.