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Finding the Fourth Proportional to 7,009.02, 9,672.93 and 3,865.23

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Solution

The fourth proportional to 7,009.02, 9,672.93 and 3,865.23 is: 5,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.02 : 9,672.93 = 3,865.23 : x
  2. Step 2: Convert to fraction form
    7,009.02/9,672.93 = 3,865.23/x
  3. Step 3: Cross multiply
    7,009.02x = 9,672.93 × 3,865.23
  4. Step 4: Simplify right side
    7,009.02x = 37,388,099.22
  5. Step 5: Solve for x
    x = 37,388,099.22/7,009.02
  6. Step 6: Final answer
    x = 5,334.28

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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.