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Finding the Fourth Proportional to 9,831.20, 14,730.60 and 8,178.80

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Solution

The fourth proportional to 9,831.20, 14,730.60 and 8,178.80 is: 12,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.20 : 14,730.60 = 8,178.80 : x
  2. Step 2: Convert to fraction form
    9,831.20/14,730.60 = 8,178.80/x
  3. Step 3: Cross multiply
    9,831.20x = 14,730.60 × 8,178.80
  4. Step 4: Simplify right side
    9,831.20x = 120,478,631.28
  5. Step 5: Solve for x
    x = 120,478,631.28/9,831.20
  6. Step 6: Final answer
    x = 12,254.72

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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.