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Finding the Fourth Proportional to 9,767.34, 14,632.65 and 4,831.20

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Solution

The fourth proportional to 9,767.34, 14,632.65 and 4,831.20 is: 7,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.34 : 14,632.65 = 4,831.20 : x
  2. Step 2: Convert to fraction form
    9,767.34/14,632.65 = 4,831.20/x
  3. Step 3: Cross multiply
    9,767.34x = 14,632.65 × 4,831.20
  4. Step 4: Simplify right side
    9,767.34x = 70,693,258.68
  5. Step 5: Solve for x
    x = 70,693,258.68/9,767.34
  6. Step 6: Final answer
    x = 7,237.72

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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.