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Finding the Fourth Proportional to 6,332.88, 9,506.01 and 5,176.20

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Solution

The fourth proportional to 6,332.88, 9,506.01 and 5,176.20 is: 7,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.88 : 9,506.01 = 5,176.20 : x
  2. Step 2: Convert to fraction form
    6,332.88/9,506.01 = 5,176.20/x
  3. Step 3: Cross multiply
    6,332.88x = 9,506.01 × 5,176.20
  4. Step 4: Simplify right side
    6,332.88x = 49,205,008.96
  5. Step 5: Solve for x
    x = 49,205,008.96/6,332.88
  6. Step 6: Final answer
    x = 7,769.77

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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.