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Finding the Fourth Proportional to 9,293.24, 12,836.22 and 6,946.04

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Solution

The fourth proportional to 9,293.24, 12,836.22 and 6,946.04 is: 9,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.24 : 12,836.22 = 6,946.04 : x
  2. Step 2: Convert to fraction form
    9,293.24/12,836.22 = 6,946.04/x
  3. Step 3: Cross multiply
    9,293.24x = 12,836.22 × 6,946.04
  4. Step 4: Simplify right side
    9,293.24x = 89,160,897.57
  5. Step 5: Solve for x
    x = 89,160,897.57/9,293.24
  6. Step 6: Final answer
    x = 9,594.17

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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.