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Finding the Fourth Proportional to 9,257.92, 12,790.72 and 6,475.84

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Solution

The fourth proportional to 9,257.92, 12,790.72 and 6,475.84 is: 8,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.92 : 12,790.72 = 6,475.84 : x
  2. Step 2: Convert to fraction form
    9,257.92/12,790.72 = 6,475.84/x
  3. Step 3: Cross multiply
    9,257.92x = 12,790.72 × 6,475.84
  4. Step 4: Simplify right side
    9,257.92x = 82,830,656.20
  5. Step 5: Solve for x
    x = 82,830,656.20/9,257.92
  6. Step 6: Final answer
    x = 8,947.00

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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.