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Finding the Fourth Proportional to 7,191.34, 9,923.76 and 4,047.46

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Solution

The fourth proportional to 7,191.34, 9,923.76 and 4,047.46 is: 5,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.34 : 9,923.76 = 4,047.46 : x
  2. Step 2: Convert to fraction form
    7,191.34/9,923.76 = 4,047.46/x
  3. Step 3: Cross multiply
    7,191.34x = 9,923.76 × 4,047.46
  4. Step 4: Simplify right side
    7,191.34x = 40,166,021.65
  5. Step 5: Solve for x
    x = 40,166,021.65/7,191.34
  6. Step 6: Final answer
    x = 5,585.33

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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.