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Finding the Fourth Proportional to 9,389.43, 12,957.71 and 5,410.71

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Solution

The fourth proportional to 9,389.43, 12,957.71 and 5,410.71 is: 7,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.43 : 12,957.71 = 5,410.71 : x
  2. Step 2: Convert to fraction form
    9,389.43/12,957.71 = 5,410.71/x
  3. Step 3: Cross multiply
    9,389.43x = 12,957.71 × 5,410.71
  4. Step 4: Simplify right side
    9,389.43x = 70,110,384.02
  5. Step 5: Solve for x
    x = 70,110,384.02/9,389.43
  6. Step 6: Final answer
    x = 7,466.95

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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.