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Finding the Fourth Proportional to 9,172.69, 12,657.95 and 5,193.56

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Solution

The fourth proportional to 9,172.69, 12,657.95 and 5,193.56 is: 7,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.69 : 12,657.95 = 5,193.56 : x
  2. Step 2: Convert to fraction form
    9,172.69/12,657.95 = 5,193.56/x
  3. Step 3: Cross multiply
    9,172.69x = 12,657.95 × 5,193.56
  4. Step 4: Simplify right side
    9,172.69x = 65,739,828.48
  5. Step 5: Solve for x
    x = 65,739,828.48/9,172.69
  6. Step 6: Final answer
    x = 7,166.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.