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Finding the Fourth Proportional to 7,116.86, 9,821.25 and 3,973.04

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Solution

The fourth proportional to 7,116.86, 9,821.25 and 3,973.04 is: 5,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.86 : 9,821.25 = 3,973.04 : x
  2. Step 2: Convert to fraction form
    7,116.86/9,821.25 = 3,973.04/x
  3. Step 3: Cross multiply
    7,116.86x = 9,821.25 × 3,973.04
  4. Step 4: Simplify right side
    7,116.86x = 39,020,169.99
  5. Step 5: Solve for x
    x = 39,020,169.99/7,116.86
  6. Step 6: Final answer
    x = 5,482.78

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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.