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Finding the Fourth Proportional to 6,533.08, 9,744.64 and 5,934.42

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Solution

The fourth proportional to 6,533.08, 9,744.64 and 5,934.42 is: 8,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.08 : 9,744.64 = 5,934.42 : x
  2. Step 2: Convert to fraction form
    6,533.08/9,744.64 = 5,934.42/x
  3. Step 3: Cross multiply
    6,533.08x = 9,744.64 × 5,934.42
  4. Step 4: Simplify right side
    6,533.08x = 57,828,771.67
  5. Step 5: Solve for x
    x = 57,828,771.67/6,533.08
  6. Step 6: Final answer
    x = 8,851.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.