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Finding the Fourth Proportional to 6,735.84, 9,291.25 and 4,818.12

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Solution

The fourth proportional to 6,735.84, 9,291.25 and 4,818.12 is: 6,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.84 : 9,291.25 = 4,818.12 : x
  2. Step 2: Convert to fraction form
    6,735.84/9,291.25 = 4,818.12/x
  3. Step 3: Cross multiply
    6,735.84x = 9,291.25 × 4,818.12
  4. Step 4: Simplify right side
    6,735.84x = 44,766,363.47
  5. Step 5: Solve for x
    x = 44,766,363.47/6,735.84
  6. Step 6: Final answer
    x = 6,646.00

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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.