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Finding the Fourth Proportional to 9,990.82, 14,977.59 and 3,830.50

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Solution

The fourth proportional to 9,990.82, 14,977.59 and 3,830.50 is: 5,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.82 : 14,977.59 = 3,830.50 : x
  2. Step 2: Convert to fraction form
    9,990.82/14,977.59 = 3,830.50/x
  3. Step 3: Cross multiply
    9,990.82x = 14,977.59 × 3,830.50
  4. Step 4: Simplify right side
    9,990.82x = 57,371,658.50
  5. Step 5: Solve for x
    x = 57,371,658.50/9,990.82
  6. Step 6: Final answer
    x = 5,742.44

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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.