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Finding the Fourth Proportional to 9,172.54, 13,756.88 and 2,596.96

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Solution

The fourth proportional to 9,172.54, 13,756.88 and 2,596.96 is: 3,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.54 : 13,756.88 = 2,596.96 : x
  2. Step 2: Convert to fraction form
    9,172.54/13,756.88 = 2,596.96/x
  3. Step 3: Cross multiply
    9,172.54x = 13,756.88 × 2,596.96
  4. Step 4: Simplify right side
    9,172.54x = 35,725,985.32
  5. Step 5: Solve for x
    x = 35,725,985.32/9,172.54
  6. Step 6: Final answer
    x = 3,894.89

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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.