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Finding the Fourth Proportional to 9,817.50, 13,548.05 and 5,838.53

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Solution

The fourth proportional to 9,817.50, 13,548.05 and 5,838.53 is: 8,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.50 : 13,548.05 = 5,838.53 : x
  2. Step 2: Convert to fraction form
    9,817.50/13,548.05 = 5,838.53/x
  3. Step 3: Cross multiply
    9,817.50x = 13,548.05 × 5,838.53
  4. Step 4: Simplify right side
    9,817.50x = 79,100,701.04
  5. Step 5: Solve for x
    x = 79,100,701.04/9,817.50
  6. Step 6: Final answer
    x = 8,057.11

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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.