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Finding the Fourth Proportional to 6,941.23, 9,573.49 and 6,145.40

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Solution

The fourth proportional to 6,941.23, 9,573.49 and 6,145.40 is: 8,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.23 : 9,573.49 = 6,145.40 : x
  2. Step 2: Convert to fraction form
    6,941.23/9,573.49 = 6,145.40/x
  3. Step 3: Cross multiply
    6,941.23x = 9,573.49 × 6,145.40
  4. Step 4: Simplify right side
    6,941.23x = 58,832,957.06
  5. Step 5: Solve for x
    x = 58,832,957.06/6,941.23
  6. Step 6: Final answer
    x = 8,475.87

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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.