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Finding the Fourth Proportional to 9,831.30, 14,714.55 and 8,664.90

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Solution

The fourth proportional to 9,831.30, 14,714.55 and 8,664.90 is: 12,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.30 : 14,714.55 = 8,664.90 : x
  2. Step 2: Convert to fraction form
    9,831.30/14,714.55 = 8,664.90/x
  3. Step 3: Cross multiply
    9,831.30x = 14,714.55 × 8,664.90
  4. Step 4: Simplify right side
    9,831.30x = 127,500,104.30
  5. Step 5: Solve for x
    x = 127,500,104.30/9,831.30
  6. Step 6: Final answer
    x = 12,968.79

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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.