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Finding the Fourth Proportional to 9,205.42, 13,810.56 and 5,301.22

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Solution

The fourth proportional to 9,205.42, 13,810.56 and 5,301.22 is: 7,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.42 : 13,810.56 = 5,301.22 : x
  2. Step 2: Convert to fraction form
    9,205.42/13,810.56 = 5,301.22/x
  3. Step 3: Cross multiply
    9,205.42x = 13,810.56 × 5,301.22
  4. Step 4: Simplify right side
    9,205.42x = 73,212,816.88
  5. Step 5: Solve for x
    x = 73,212,816.88/9,205.42
  6. Step 6: Final answer
    x = 7,953.23

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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.