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Finding the Fourth Proportional to 6,498.01, 8,938.92 and 5,697.73

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Solution

The fourth proportional to 6,498.01, 8,938.92 and 5,697.73 is: 7,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.01 : 8,938.92 = 5,697.73 : x
  2. Step 2: Convert to fraction form
    6,498.01/8,938.92 = 5,697.73/x
  3. Step 3: Cross multiply
    6,498.01x = 8,938.92 × 5,697.73
  4. Step 4: Simplify right side
    6,498.01x = 50,931,552.65
  5. Step 5: Solve for x
    x = 50,931,552.65/6,498.01
  6. Step 6: Final answer
    x = 7,838.02

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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.