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Finding the Fourth Proportional to 6,498.01, 9,747.02 and 5,118.72

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Solution

The fourth proportional to 6,498.01, 9,747.02 and 5,118.72 is: 7,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.01 : 9,747.02 = 5,118.72 : x
  2. Step 2: Convert to fraction form
    6,498.01/9,747.02 = 5,118.72/x
  3. Step 3: Cross multiply
    6,498.01x = 9,747.02 × 5,118.72
  4. Step 4: Simplify right side
    6,498.01x = 49,892,266.21
  5. Step 5: Solve for x
    x = 49,892,266.21/6,498.01
  6. Step 6: Final answer
    x = 7,678.08

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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.