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Finding the Fourth Proportional to 6,498.18, 8,967.69 and 3,703.50

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Solution

The fourth proportional to 6,498.18, 8,967.69 and 3,703.50 is: 5,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.18 : 8,967.69 = 3,703.50 : x
  2. Step 2: Convert to fraction form
    6,498.18/8,967.69 = 3,703.50/x
  3. Step 3: Cross multiply
    6,498.18x = 8,967.69 × 3,703.50
  4. Step 4: Simplify right side
    6,498.18x = 33,211,839.92
  5. Step 5: Solve for x
    x = 33,211,839.92/6,498.18
  6. Step 6: Final answer
    x = 5,110.94

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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.