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Finding the Fourth Proportional to 6,314.84, 9,473.76 and 2,852.04

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Solution

The fourth proportional to 6,314.84, 9,473.76 and 2,852.04 is: 4,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.84 : 9,473.76 = 2,852.04 : x
  2. Step 2: Convert to fraction form
    6,314.84/9,473.76 = 2,852.04/x
  3. Step 3: Cross multiply
    6,314.84x = 9,473.76 × 2,852.04
  4. Step 4: Simplify right side
    6,314.84x = 27,019,542.47
  5. Step 5: Solve for x
    x = 27,019,542.47/6,314.84
  6. Step 6: Final answer
    x = 4,278.74

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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.