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Finding the Fourth Proportional to 6,232.70, 9,341.25 and 3,113.57

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Solution

The fourth proportional to 6,232.70, 9,341.25 and 3,113.57 is: 4,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.70 : 9,341.25 = 3,113.57 : x
  2. Step 2: Convert to fraction form
    6,232.70/9,341.25 = 3,113.57/x
  3. Step 3: Cross multiply
    6,232.70x = 9,341.25 × 3,113.57
  4. Step 4: Simplify right side
    6,232.70x = 29,084,643.55
  5. Step 5: Solve for x
    x = 29,084,643.55/6,232.70
  6. Step 6: Final answer
    x = 4,666.46

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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.