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Finding the Fourth Proportional to 7,123.94, 9,830.97 and 3,937.45

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Solution

The fourth proportional to 7,123.94, 9,830.97 and 3,937.45 is: 5,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.94 : 9,830.97 = 3,937.45 : x
  2. Step 2: Convert to fraction form
    7,123.94/9,830.97 = 3,937.45/x
  3. Step 3: Cross multiply
    7,123.94x = 9,830.97 × 3,937.45
  4. Step 4: Simplify right side
    7,123.94x = 38,708,883.98
  5. Step 5: Solve for x
    x = 38,708,883.98/7,123.94
  6. Step 6: Final answer
    x = 5,433.64

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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.