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Finding the Fourth Proportional to 6,831.30, 9,432.96 and 6,032.64

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Solution

The fourth proportional to 6,831.30, 9,432.96 and 6,032.64 is: 8,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.30 : 9,432.96 = 6,032.64 : x
  2. Step 2: Convert to fraction form
    6,831.30/9,432.96 = 6,032.64/x
  3. Step 3: Cross multiply
    6,831.30x = 9,432.96 × 6,032.64
  4. Step 4: Simplify right side
    6,831.30x = 56,905,651.81
  5. Step 5: Solve for x
    x = 56,905,651.81/6,831.30
  6. Step 6: Final answer
    x = 8,330.14

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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.