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Finding the Fourth Proportional to 9,496.87, 13,106.90 and 5,722

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Solution

The fourth proportional to 9,496.87, 13,106.90 and 5,722 is: 7,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.87 : 13,106.90 = 5,722 : x
  2. Step 2: Convert to fraction form
    9,496.87/13,106.90 = 5,722/x
  3. Step 3: Cross multiply
    9,496.87x = 13,106.90 × 5,722
  4. Step 4: Simplify right side
    9,496.87x = 74,997,681.80
  5. Step 5: Solve for x
    x = 74,997,681.80/9,496.87
  6. Step 6: Final answer
    x = 7,897.09

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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.