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Finding the Fourth Proportional to 6,771.60, 9,339.57 and 4,532.76

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Solution

The fourth proportional to 6,771.60, 9,339.57 and 4,532.76 is: 6,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.60 : 9,339.57 = 4,532.76 : x
  2. Step 2: Convert to fraction form
    6,771.60/9,339.57 = 4,532.76/x
  3. Step 3: Cross multiply
    6,771.60x = 9,339.57 × 4,532.76
  4. Step 4: Simplify right side
    6,771.60x = 42,334,029.31
  5. Step 5: Solve for x
    x = 42,334,029.31/6,771.60
  6. Step 6: Final answer
    x = 6,251.70

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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.