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Finding the Fourth Proportional to 6,214.98, 9,308.80 and 4,817.35

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Solution

The fourth proportional to 6,214.98, 9,308.80 and 4,817.35 is: 7,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.98 : 9,308.80 = 4,817.35 : x
  2. Step 2: Convert to fraction form
    6,214.98/9,308.80 = 4,817.35/x
  3. Step 3: Cross multiply
    6,214.98x = 9,308.80 × 4,817.35
  4. Step 4: Simplify right side
    6,214.98x = 44,843,725.61
  5. Step 5: Solve for x
    x = 44,843,725.61/6,214.98
  6. Step 6: Final answer
    x = 7,215.43

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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.