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Finding the Fourth Proportional to 7,089.12, 9,774.48 and 5,199.96

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Solution

The fourth proportional to 7,089.12, 9,774.48 and 5,199.96 is: 7,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.12 : 9,774.48 = 5,199.96 : x
  2. Step 2: Convert to fraction form
    7,089.12/9,774.48 = 5,199.96/x
  3. Step 3: Cross multiply
    7,089.12x = 9,774.48 × 5,199.96
  4. Step 4: Simplify right side
    7,089.12x = 50,826,905.02
  5. Step 5: Solve for x
    x = 50,826,905.02/7,089.12
  6. Step 6: Final answer
    x = 7,169.71

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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.