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Finding the Fourth Proportional to 9,817.50, 13,548.15 and 5,628.18

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Solution

The fourth proportional to 9,817.50, 13,548.15 and 5,628.18 is: 7,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.50 : 13,548.15 = 5,628.18 : x
  2. Step 2: Convert to fraction form
    9,817.50/13,548.15 = 5,628.18/x
  3. Step 3: Cross multiply
    9,817.50x = 13,548.15 × 5,628.18
  4. Step 4: Simplify right side
    9,817.50x = 76,251,426.87
  5. Step 5: Solve for x
    x = 76,251,426.87/9,817.50
  6. Step 6: Final answer
    x = 7,766.89

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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.