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Finding the Fourth Proportional to 9,458.96, 14,197.19 and 4,782.29

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Solution

The fourth proportional to 9,458.96, 14,197.19 and 4,782.29 is: 7,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.96 : 14,197.19 = 4,782.29 : x
  2. Step 2: Convert to fraction form
    9,458.96/14,197.19 = 4,782.29/x
  3. Step 3: Cross multiply
    9,458.96x = 14,197.19 × 4,782.29
  4. Step 4: Simplify right side
    9,458.96x = 67,894,984.87
  5. Step 5: Solve for x
    x = 67,894,984.87/9,458.96
  6. Step 6: Final answer
    x = 7,177.85

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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.