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Finding the Fourth Proportional to 9,257.26, 12,776.88 and 6,430.54

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Solution

The fourth proportional to 9,257.26, 12,776.88 and 6,430.54 is: 8,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.26 : 12,776.88 = 6,430.54 : x
  2. Step 2: Convert to fraction form
    9,257.26/12,776.88 = 6,430.54/x
  3. Step 3: Cross multiply
    9,257.26x = 12,776.88 × 6,430.54
  4. Step 4: Simplify right side
    9,257.26x = 82,162,237.92
  5. Step 5: Solve for x
    x = 82,162,237.92/9,257.26
  6. Step 6: Final answer
    x = 8,875.44

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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.