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Finding the Fourth Proportional to 9,790.90, 14,691.41 and 4,860.43

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Solution

The fourth proportional to 9,790.90, 14,691.41 and 4,860.43 is: 7,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.90 : 14,691.41 = 4,860.43 : x
  2. Step 2: Convert to fraction form
    9,790.90/14,691.41 = 4,860.43/x
  3. Step 3: Cross multiply
    9,790.90x = 14,691.41 × 4,860.43
  4. Step 4: Simplify right side
    9,790.90x = 71,406,527.10
  5. Step 5: Solve for x
    x = 71,406,527.10/9,790.90
  6. Step 6: Final answer
    x = 7,293.15

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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.