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Finding the Fourth Proportional to 9,260.80, 13,893.68 and 4,877.12

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Solution

The fourth proportional to 9,260.80, 13,893.68 and 4,877.12 is: 7,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.80 : 13,893.68 = 4,877.12 : x
  2. Step 2: Convert to fraction form
    9,260.80/13,893.68 = 4,877.12/x
  3. Step 3: Cross multiply
    9,260.80x = 13,893.68 × 4,877.12
  4. Step 4: Simplify right side
    9,260.80x = 67,761,144.60
  5. Step 5: Solve for x
    x = 67,761,144.60/9,260.80
  6. Step 6: Final answer
    x = 7,316.99

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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.