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Finding the Fourth Proportional to 7,151.46, 9,867.32 and 4,165.50

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Solution

The fourth proportional to 7,151.46, 9,867.32 and 4,165.50 is: 5,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.46 : 9,867.32 = 4,165.50 : x
  2. Step 2: Convert to fraction form
    7,151.46/9,867.32 = 4,165.50/x
  3. Step 3: Cross multiply
    7,151.46x = 9,867.32 × 4,165.50
  4. Step 4: Simplify right side
    7,151.46x = 41,102,321.46
  5. Step 5: Solve for x
    x = 41,102,321.46/7,151.46
  6. Step 6: Final answer
    x = 5,747.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.