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Finding the Fourth Proportional to 4,509.34, 6,767.64 and 1,914.10

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Solution

The fourth proportional to 4,509.34, 6,767.64 and 1,914.10 is: 2,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.34 : 6,767.64 = 1,914.10 : x
  2. Step 2: Convert to fraction form
    4,509.34/6,767.64 = 1,914.10/x
  3. Step 3: Cross multiply
    4,509.34x = 6,767.64 × 1,914.10
  4. Step 4: Simplify right side
    4,509.34x = 12,953,939.72
  5. Step 5: Solve for x
    x = 12,953,939.72/4,509.34
  6. Step 6: Final answer
    x = 2,872.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.