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Finding the Fourth Proportional to 9,722.68, 13,416.42 and 5,530.12

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Solution

The fourth proportional to 9,722.68, 13,416.42 and 5,530.12 is: 7,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.68 : 13,416.42 = 5,530.12 : x
  2. Step 2: Convert to fraction form
    9,722.68/13,416.42 = 5,530.12/x
  3. Step 3: Cross multiply
    9,722.68x = 13,416.42 × 5,530.12
  4. Step 4: Simplify right side
    9,722.68x = 74,194,412.57
  5. Step 5: Solve for x
    x = 74,194,412.57/9,722.68
  6. Step 6: Final answer
    x = 7,631.07

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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.