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Finding the Fourth Proportional to 9,357.27, 14,035.72 and 3,117.74

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Solution

The fourth proportional to 9,357.27, 14,035.72 and 3,117.74 is: 4,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.27 : 14,035.72 = 3,117.74 : x
  2. Step 2: Convert to fraction form
    9,357.27/14,035.72 = 3,117.74/x
  3. Step 3: Cross multiply
    9,357.27x = 14,035.72 × 3,117.74
  4. Step 4: Simplify right side
    9,357.27x = 43,759,647.70
  5. Step 5: Solve for x
    x = 43,759,647.70/9,357.27
  6. Step 6: Final answer
    x = 4,676.54

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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.