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Finding the Fourth Proportional to 9,820.89, 14,735.05 and 4,558.42

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Solution

The fourth proportional to 9,820.89, 14,735.05 and 4,558.42 is: 6,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.89 : 14,735.05 = 4,558.42 : x
  2. Step 2: Convert to fraction form
    9,820.89/14,735.05 = 4,558.42/x
  3. Step 3: Cross multiply
    9,820.89x = 14,735.05 × 4,558.42
  4. Step 4: Simplify right side
    9,820.89x = 67,168,553.64
  5. Step 5: Solve for x
    x = 67,168,553.64/9,820.89
  6. Step 6: Final answer
    x = 6,839.36

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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.