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Finding the Fourth Proportional to 9,385.84, 12,957.60 and 6,406.12

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Solution

The fourth proportional to 9,385.84, 12,957.60 and 6,406.12 is: 8,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.84 : 12,957.60 = 6,406.12 : x
  2. Step 2: Convert to fraction form
    9,385.84/12,957.60 = 6,406.12/x
  3. Step 3: Cross multiply
    9,385.84x = 12,957.60 × 6,406.12
  4. Step 4: Simplify right side
    9,385.84x = 83,007,940.51
  5. Step 5: Solve for x
    x = 83,007,940.51/9,385.84
  6. Step 6: Final answer
    x = 8,843.95

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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.