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Finding the Fourth Proportional to 9,137.02, 13,711.00 and 5,244.16

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Solution

The fourth proportional to 9,137.02, 13,711.00 and 5,244.16 is: 7,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.02 : 13,711.00 = 5,244.16 : x
  2. Step 2: Convert to fraction form
    9,137.02/13,711.00 = 5,244.16/x
  3. Step 3: Cross multiply
    9,137.02x = 13,711.00 × 5,244.16
  4. Step 4: Simplify right side
    9,137.02x = 71,902,630.37
  5. Step 5: Solve for x
    x = 71,902,630.37/9,137.02
  6. Step 6: Final answer
    x = 7,869.38

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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.