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Finding the Fourth Proportional to 7,089.40, 9,784.62 and 5,408.20

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Solution

The fourth proportional to 7,089.40, 9,784.62 and 5,408.20 is: 7,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.40 : 9,784.62 = 5,408.20 : x
  2. Step 2: Convert to fraction form
    7,089.40/9,784.62 = 5,408.20/x
  3. Step 3: Cross multiply
    7,089.40x = 9,784.62 × 5,408.20
  4. Step 4: Simplify right side
    7,089.40x = 52,917,181.88
  5. Step 5: Solve for x
    x = 52,917,181.88/7,089.40
  6. Step 6: Final answer
    x = 7,464.27

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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.