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Finding the Fourth Proportional to 9,165.50, 12,628.86 and 6,176.15

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Solution

The fourth proportional to 9,165.50, 12,628.86 and 6,176.15 is: 8,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.50 : 12,628.86 = 6,176.15 : x
  2. Step 2: Convert to fraction form
    9,165.50/12,628.86 = 6,176.15/x
  3. Step 3: Cross multiply
    9,165.50x = 12,628.86 × 6,176.15
  4. Step 4: Simplify right side
    9,165.50x = 77,997,729.48
  5. Step 5: Solve for x
    x = 77,997,729.48/9,165.50
  6. Step 6: Final answer
    x = 8,509.92

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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.