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Finding the Fourth Proportional to 6,535.62, 9,017.73 and 4,768.20

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Solution

The fourth proportional to 6,535.62, 9,017.73 and 4,768.20 is: 6,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.62 : 9,017.73 = 4,768.20 : x
  2. Step 2: Convert to fraction form
    6,535.62/9,017.73 = 4,768.20/x
  3. Step 3: Cross multiply
    6,535.62x = 9,017.73 × 4,768.20
  4. Step 4: Simplify right side
    6,535.62x = 42,998,340.19
  5. Step 5: Solve for x
    x = 42,998,340.19/6,535.62
  6. Step 6: Final answer
    x = 6,579.08

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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.