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Finding the Fourth Proportional to 9,831.40, 14,756.70 and 4,906.60

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Solution

The fourth proportional to 9,831.40, 14,756.70 and 4,906.60 is: 7,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.40 : 14,756.70 = 4,906.60 : x
  2. Step 2: Convert to fraction form
    9,831.40/14,756.70 = 4,906.60/x
  3. Step 3: Cross multiply
    9,831.40x = 14,756.70 × 4,906.60
  4. Step 4: Simplify right side
    9,831.40x = 72,405,224.22
  5. Step 5: Solve for x
    x = 72,405,224.22/9,831.40
  6. Step 6: Final answer
    x = 7,364.69

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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.