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Finding the Fourth Proportional to 7,190.46, 9,923.70 and 4,047.24

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Solution

The fourth proportional to 7,190.46, 9,923.70 and 4,047.24 is: 5,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.46 : 9,923.70 = 4,047.24 : x
  2. Step 2: Convert to fraction form
    7,190.46/9,923.70 = 4,047.24/x
  3. Step 3: Cross multiply
    7,190.46x = 9,923.70 × 4,047.24
  4. Step 4: Simplify right side
    7,190.46x = 40,163,595.59
  5. Step 5: Solve for x
    x = 40,163,595.59/7,190.46
  6. Step 6: Final answer
    x = 5,585.68

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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.