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Finding the Fourth Proportional to 6,193.24, 8,547.06 and 3,398.74

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Solution

The fourth proportional to 6,193.24, 8,547.06 and 3,398.74 is: 4,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.24 : 8,547.06 = 3,398.74 : x
  2. Step 2: Convert to fraction form
    6,193.24/8,547.06 = 3,398.74/x
  3. Step 3: Cross multiply
    6,193.24x = 8,547.06 × 3,398.74
  4. Step 4: Simplify right side
    6,193.24x = 29,049,234.70
  5. Step 5: Solve for x
    x = 29,049,234.70/6,193.24
  6. Step 6: Final answer
    x = 4,690.47

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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.