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Finding the Fourth Proportional to 6,655.24, 9,176.74 and 4,262.08

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Solution

The fourth proportional to 6,655.24, 9,176.74 and 4,262.08 is: 5,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.24 : 9,176.74 = 4,262.08 : x
  2. Step 2: Convert to fraction form
    6,655.24/9,176.74 = 4,262.08/x
  3. Step 3: Cross multiply
    6,655.24x = 9,176.74 × 4,262.08
  4. Step 4: Simplify right side
    6,655.24x = 39,112,000.02
  5. Step 5: Solve for x
    x = 39,112,000.02/6,655.24
  6. Step 6: Final answer
    x = 5,876.87

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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.