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Finding the Fourth Proportional to 6,555.20, 9,831.60 and 4,085.60

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Solution

The fourth proportional to 6,555.20, 9,831.60 and 4,085.60 is: 6,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.20 : 9,831.60 = 4,085.60 : x
  2. Step 2: Convert to fraction form
    6,555.20/9,831.60 = 4,085.60/x
  3. Step 3: Cross multiply
    6,555.20x = 9,831.60 × 4,085.60
  4. Step 4: Simplify right side
    6,555.20x = 40,167,984.96
  5. Step 5: Solve for x
    x = 40,167,984.96/6,555.20
  6. Step 6: Final answer
    x = 6,127.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.