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Finding the Fourth Proportional to 9,731.34, 13,423.95 and 8,470.17

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Solution

The fourth proportional to 9,731.34, 13,423.95 and 8,470.17 is: 11,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.34 : 13,423.95 = 8,470.17 : x
  2. Step 2: Convert to fraction form
    9,731.34/13,423.95 = 8,470.17/x
  3. Step 3: Cross multiply
    9,731.34x = 13,423.95 × 8,470.17
  4. Step 4: Simplify right side
    9,731.34x = 113,703,138.57
  5. Step 5: Solve for x
    x = 113,703,138.57/9,731.34
  6. Step 6: Final answer
    x = 11,684.22

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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.