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Finding the Fourth Proportional to 9,389.34, 12,957.30 and 5,197.50

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Solution

The fourth proportional to 9,389.34, 12,957.30 and 5,197.50 is: 7,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.34 : 12,957.30 = 5,197.50 : x
  2. Step 2: Convert to fraction form
    9,389.34/12,957.30 = 5,197.50/x
  3. Step 3: Cross multiply
    9,389.34x = 12,957.30 × 5,197.50
  4. Step 4: Simplify right side
    9,389.34x = 67,345,566.75
  5. Step 5: Solve for x
    x = 67,345,566.75/9,389.34
  6. Step 6: Final answer
    x = 7,172.56

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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.