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Finding the Fourth Proportional to 9,193.17, 13,778.82 and 5,289.51

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Solution

The fourth proportional to 9,193.17, 13,778.82 and 5,289.51 is: 7,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.17 : 13,778.82 = 5,289.51 : x
  2. Step 2: Convert to fraction form
    9,193.17/13,778.82 = 5,289.51/x
  3. Step 3: Cross multiply
    9,193.17x = 13,778.82 × 5,289.51
  4. Step 4: Simplify right side
    9,193.17x = 72,883,206.18
  5. Step 5: Solve for x
    x = 72,883,206.18/9,193.17
  6. Step 6: Final answer
    x = 7,927.97

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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.