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Finding the Fourth Proportional to 6,849.44, 9,440.88 and 5,430.62

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Solution

The fourth proportional to 6,849.44, 9,440.88 and 5,430.62 is: 7,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.44 : 9,440.88 = 5,430.62 : x
  2. Step 2: Convert to fraction form
    6,849.44/9,440.88 = 5,430.62/x
  3. Step 3: Cross multiply
    6,849.44x = 9,440.88 × 5,430.62
  4. Step 4: Simplify right side
    6,849.44x = 51,269,831.75
  5. Step 5: Solve for x
    x = 51,269,831.75/6,849.44
  6. Step 6: Final answer
    x = 7,485.26

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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.