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Finding the Fourth Proportional to 9,254.54, 12,758.46 and 6,265.64

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Solution

The fourth proportional to 9,254.54, 12,758.46 and 6,265.64 is: 8,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.54 : 12,758.46 = 6,265.64 : x
  2. Step 2: Convert to fraction form
    9,254.54/12,758.46 = 6,265.64/x
  3. Step 3: Cross multiply
    9,254.54x = 12,758.46 × 6,265.64
  4. Step 4: Simplify right side
    9,254.54x = 79,939,917.31
  5. Step 5: Solve for x
    x = 79,939,917.31/9,254.54
  6. Step 6: Final answer
    x = 8,637.91

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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.