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Finding the Fourth Proportional to 6,283.04, 9,434.36 and 5,415.30

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Solution

The fourth proportional to 6,283.04, 9,434.36 and 5,415.30 is: 8,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.04 : 9,434.36 = 5,415.30 : x
  2. Step 2: Convert to fraction form
    6,283.04/9,434.36 = 5,415.30/x
  3. Step 3: Cross multiply
    6,283.04x = 9,434.36 × 5,415.30
  4. Step 4: Simplify right side
    6,283.04x = 51,089,903.25
  5. Step 5: Solve for x
    x = 51,089,903.25/6,283.04
  6. Step 6: Final answer
    x = 8,131.41

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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.