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Finding the Fourth Proportional to 9,740.32, 13,532.32 and 9,623.68

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Solution

The fourth proportional to 9,740.32, 13,532.32 and 9,623.68 is: 13,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.32 : 13,532.32 = 9,623.68 : x
  2. Step 2: Convert to fraction form
    9,740.32/13,532.32 = 9,623.68/x
  3. Step 3: Cross multiply
    9,740.32x = 13,532.32 × 9,623.68
  4. Step 4: Simplify right side
    9,740.32x = 130,230,717.34
  5. Step 5: Solve for x
    x = 130,230,717.34/9,740.32
  6. Step 6: Final answer
    x = 13,370.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.