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Finding the Fourth Proportional to 9,733.03, 14,601.58 and 3,158.69

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Solution

The fourth proportional to 9,733.03, 14,601.58 and 3,158.69 is: 4,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.03 : 14,601.58 = 3,158.69 : x
  2. Step 2: Convert to fraction form
    9,733.03/14,601.58 = 3,158.69/x
  3. Step 3: Cross multiply
    9,733.03x = 14,601.58 × 3,158.69
  4. Step 4: Simplify right side
    9,733.03x = 46,121,783.83
  5. Step 5: Solve for x
    x = 46,121,783.83/9,733.03
  6. Step 6: Final answer
    x = 4,738.69

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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.