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Finding the Fourth Proportional to 7,122.94, 9,833.19 and 5,430.46

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Solution

The fourth proportional to 7,122.94, 9,833.19 and 5,430.46 is: 7,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.94 : 9,833.19 = 5,430.46 : x
  2. Step 2: Convert to fraction form
    7,122.94/9,833.19 = 5,430.46/x
  3. Step 3: Cross multiply
    7,122.94x = 9,833.19 × 5,430.46
  4. Step 4: Simplify right side
    7,122.94x = 53,398,744.97
  5. Step 5: Solve for x
    x = 53,398,744.97/7,122.94
  6. Step 6: Final answer
    x = 7,496.73

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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.