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Finding the Fourth Proportional to 9,117.54, 13,675.05 and 3,566.97

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Solution

The fourth proportional to 9,117.54, 13,675.05 and 3,566.97 is: 5,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.54 : 13,675.05 = 3,566.97 : x
  2. Step 2: Convert to fraction form
    9,117.54/13,675.05 = 3,566.97/x
  3. Step 3: Cross multiply
    9,117.54x = 13,675.05 × 3,566.97
  4. Step 4: Simplify right side
    9,117.54x = 48,778,493.10
  5. Step 5: Solve for x
    x = 48,778,493.10/9,117.54
  6. Step 6: Final answer
    x = 5,349.96

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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.