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Finding the Fourth Proportional to 6,831.20, 9,585.55 and 6,831.20

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Solution

The fourth proportional to 6,831.20, 9,585.55 and 6,831.20 is: 9,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.20 : 9,585.55 = 6,831.20 : x
  2. Step 2: Convert to fraction form
    6,831.20/9,585.55 = 6,831.20/x
  3. Step 3: Cross multiply
    6,831.20x = 9,585.55 × 6,831.20
  4. Step 4: Simplify right side
    6,831.20x = 65,480,809.16
  5. Step 5: Solve for x
    x = 65,480,809.16/6,831.20
  6. Step 6: Final answer
    x = 9,585.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.