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Finding the Fourth Proportional to 7,006.97, 9,674.48 and 4,355.57

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Solution

The fourth proportional to 7,006.97, 9,674.48 and 4,355.57 is: 6,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.97 : 9,674.48 = 4,355.57 : x
  2. Step 2: Convert to fraction form
    7,006.97/9,674.48 = 4,355.57/x
  3. Step 3: Cross multiply
    7,006.97x = 9,674.48 × 4,355.57
  4. Step 4: Simplify right side
    7,006.97x = 42,137,909.93
  5. Step 5: Solve for x
    x = 42,137,909.93/7,006.97
  6. Step 6: Final answer
    x = 6,013.71

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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.