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Finding the Fourth Proportional to 6,376.66, 9,507.71 and 6,133.05

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Solution

The fourth proportional to 6,376.66, 9,507.71 and 6,133.05 is: 9,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.66 : 9,507.71 = 6,133.05 : x
  2. Step 2: Convert to fraction form
    6,376.66/9,507.71 = 6,133.05/x
  3. Step 3: Cross multiply
    6,376.66x = 9,507.71 × 6,133.05
  4. Step 4: Simplify right side
    6,376.66x = 58,311,276.15
  5. Step 5: Solve for x
    x = 58,311,276.15/6,376.66
  6. Step 6: Final answer
    x = 9,144.49

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Why These Related Problems?

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