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Finding the Fourth Proportional to 7,070.42, 9,766.37 and 5,381.57

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Solution

The fourth proportional to 7,070.42, 9,766.37 and 5,381.57 is: 7,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.42 : 9,766.37 = 5,381.57 : x
  2. Step 2: Convert to fraction form
    7,070.42/9,766.37 = 5,381.57/x
  3. Step 3: Cross multiply
    7,070.42x = 9,766.37 × 5,381.57
  4. Step 4: Simplify right side
    7,070.42x = 52,558,403.80
  5. Step 5: Solve for x
    x = 52,558,403.80/7,070.42
  6. Step 6: Final answer
    x = 7,433.56

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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.