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Finding the Fourth Proportional to 9,735.40, 14,598.78 and 3,890.44

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Solution

The fourth proportional to 9,735.40, 14,598.78 and 3,890.44 is: 5,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.40 : 14,598.78 = 3,890.44 : x
  2. Step 2: Convert to fraction form
    9,735.40/14,598.78 = 3,890.44/x
  3. Step 3: Cross multiply
    9,735.40x = 14,598.78 × 3,890.44
  4. Step 4: Simplify right side
    9,735.40x = 56,795,677.66
  5. Step 5: Solve for x
    x = 56,795,677.66/9,735.40
  6. Step 6: Final answer
    x = 5,833.93

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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.