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Finding the Fourth Proportional to 9,831.93, 14,750.42 and 3,259.95

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Solution

The fourth proportional to 9,831.93, 14,750.42 and 3,259.95 is: 4,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.93 : 14,750.42 = 3,259.95 : x
  2. Step 2: Convert to fraction form
    9,831.93/14,750.42 = 3,259.95/x
  3. Step 3: Cross multiply
    9,831.93x = 14,750.42 × 3,259.95
  4. Step 4: Simplify right side
    9,831.93x = 48,085,615.38
  5. Step 5: Solve for x
    x = 48,085,615.38/9,831.93
  6. Step 6: Final answer
    x = 4,890.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.