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Finding the Fourth Proportional to 9,280.88, 13,886.42 and 6,512.96

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Solution

The fourth proportional to 9,280.88, 13,886.42 and 6,512.96 is: 9,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.88 : 13,886.42 = 6,512.96 : x
  2. Step 2: Convert to fraction form
    9,280.88/13,886.42 = 6,512.96/x
  3. Step 3: Cross multiply
    9,280.88x = 13,886.42 × 6,512.96
  4. Step 4: Simplify right side
    9,280.88x = 90,441,698.00
  5. Step 5: Solve for x
    x = 90,441,698.00/9,280.88
  6. Step 6: Final answer
    x = 9,744.95

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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.