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Finding the Fourth Proportional to 9,389.84, 12,957.54 and 5,197.76

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Solution

The fourth proportional to 9,389.84, 12,957.54 and 5,197.76 is: 7,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.84 : 12,957.54 = 5,197.76 : x
  2. Step 2: Convert to fraction form
    9,389.84/12,957.54 = 5,197.76/x
  3. Step 3: Cross multiply
    9,389.84x = 12,957.54 × 5,197.76
  4. Step 4: Simplify right side
    9,389.84x = 67,350,183.11
  5. Step 5: Solve for x
    x = 67,350,183.11/9,389.84
  6. Step 6: Final answer
    x = 7,172.67

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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.