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Finding the Fourth Proportional to 9,767.59, 14,633.02 and 4,831.45

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Solution

The fourth proportional to 9,767.59, 14,633.02 and 4,831.45 is: 7,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.59 : 14,633.02 = 4,831.45 : x
  2. Step 2: Convert to fraction form
    9,767.59/14,633.02 = 4,831.45/x
  3. Step 3: Cross multiply
    9,767.59x = 14,633.02 × 4,831.45
  4. Step 4: Simplify right side
    9,767.59x = 70,698,704.48
  5. Step 5: Solve for x
    x = 70,698,704.48/9,767.59
  6. Step 6: Final answer
    x = 7,238.09

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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.