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Finding the Fourth Proportional to 9,288.57, 12,818.06 and 5,255.34

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Solution

The fourth proportional to 9,288.57, 12,818.06 and 5,255.34 is: 7,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.57 : 12,818.06 = 5,255.34 : x
  2. Step 2: Convert to fraction form
    9,288.57/12,818.06 = 5,255.34/x
  3. Step 3: Cross multiply
    9,288.57x = 12,818.06 × 5,255.34
  4. Step 4: Simplify right side
    9,288.57x = 67,363,237.16
  5. Step 5: Solve for x
    x = 67,363,237.16/9,288.57
  6. Step 6: Final answer
    x = 7,252.27

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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.