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Finding the Fourth Proportional to 6,803.82, 9,386.88 and 4,447.35

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Solution

The fourth proportional to 6,803.82, 9,386.88 and 4,447.35 is: 6,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.82 : 9,386.88 = 4,447.35 : x
  2. Step 2: Convert to fraction form
    6,803.82/9,386.88 = 4,447.35/x
  3. Step 3: Cross multiply
    6,803.82x = 9,386.88 × 4,447.35
  4. Step 4: Simplify right side
    6,803.82x = 41,746,740.77
  5. Step 5: Solve for x
    x = 41,746,740.77/6,803.82
  6. Step 6: Final answer
    x = 6,135.78

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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.