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Finding the Fourth Proportional to 7,116.50, 9,820.77 and 3,972.70

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Solution

The fourth proportional to 7,116.50, 9,820.77 and 3,972.70 is: 5,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.50 : 9,820.77 = 3,972.70 : x
  2. Step 2: Convert to fraction form
    7,116.50/9,820.77 = 3,972.70/x
  3. Step 3: Cross multiply
    7,116.50x = 9,820.77 × 3,972.70
  4. Step 4: Simplify right side
    7,116.50x = 39,014,923.88
  5. Step 5: Solve for x
    x = 39,014,923.88/7,116.50
  6. Step 6: Final answer
    x = 5,482.32

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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.