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Finding the Fourth Proportional to 8,288.87, 12,438.16 and 5,946.35

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Solution

The fourth proportional to 8,288.87, 12,438.16 and 5,946.35 is: 8,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.87 : 12,438.16 = 5,946.35 : x
  2. Step 2: Convert to fraction form
    8,288.87/12,438.16 = 5,946.35/x
  3. Step 3: Cross multiply
    8,288.87x = 12,438.16 × 5,946.35
  4. Step 4: Simplify right side
    8,288.87x = 73,961,575.66
  5. Step 5: Solve for x
    x = 73,961,575.66/8,288.87
  6. Step 6: Final answer
    x = 8,923.00

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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.