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Finding the Fourth Proportional to 7,114.23, 9,795.33 and 5,851.24

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Solution

The fourth proportional to 7,114.23, 9,795.33 and 5,851.24 is: 8,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.23 : 9,795.33 = 5,851.24 : x
  2. Step 2: Convert to fraction form
    7,114.23/9,795.33 = 5,851.24/x
  3. Step 3: Cross multiply
    7,114.23x = 9,795.33 × 5,851.24
  4. Step 4: Simplify right side
    7,114.23x = 57,314,802.22
  5. Step 5: Solve for x
    x = 57,314,802.22/7,114.23
  6. Step 6: Final answer
    x = 8,056.36

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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.