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Finding the Fourth Proportional to 9,730.41, 13,423.31 and 9,353.19

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Solution

The fourth proportional to 9,730.41, 13,423.31 and 9,353.19 is: 12,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.41 : 13,423.31 = 9,353.19 : x
  2. Step 2: Convert to fraction form
    9,730.41/13,423.31 = 9,353.19/x
  3. Step 3: Cross multiply
    9,730.41x = 13,423.31 × 9,353.19
  4. Step 4: Simplify right side
    9,730.41x = 125,550,722.09
  5. Step 5: Solve for x
    x = 125,550,722.09/9,730.41
  6. Step 6: Final answer
    x = 12,902.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.