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Finding the Fourth Proportional to 7,074.80, 9,753.47 and 5,644.02

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Solution

The fourth proportional to 7,074.80, 9,753.47 and 5,644.02 is: 7,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.80 : 9,753.47 = 5,644.02 : x
  2. Step 2: Convert to fraction form
    7,074.80/9,753.47 = 5,644.02/x
  3. Step 3: Cross multiply
    7,074.80x = 9,753.47 × 5,644.02
  4. Step 4: Simplify right side
    7,074.80x = 55,048,727.15
  5. Step 5: Solve for x
    x = 55,048,727.15/7,074.80
  6. Step 6: Final answer
    x = 7,780.96

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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.