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Finding the Fourth Proportional to 7,116.81, 9,821.62 and 3,973.20

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Solution

The fourth proportional to 7,116.81, 9,821.62 and 3,973.20 is: 5,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.81 : 9,821.62 = 3,973.20 : x
  2. Step 2: Convert to fraction form
    7,116.81/9,821.62 = 3,973.20/x
  3. Step 3: Cross multiply
    7,116.81x = 9,821.62 × 3,973.20
  4. Step 4: Simplify right side
    7,116.81x = 39,023,260.58
  5. Step 5: Solve for x
    x = 39,023,260.58/7,116.81
  6. Step 6: Final answer
    x = 5,483.25

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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.