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Finding the Fourth Proportional to 9,873.32, 13,623.92 and 5,624.92

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Solution

The fourth proportional to 9,873.32, 13,623.92 and 5,624.92 is: 7,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.32 : 13,623.92 = 5,624.92 : x
  2. Step 2: Convert to fraction form
    9,873.32/13,623.92 = 5,624.92/x
  3. Step 3: Cross multiply
    9,873.32x = 13,623.92 × 5,624.92
  4. Step 4: Simplify right side
    9,873.32x = 76,633,460.09
  5. Step 5: Solve for x
    x = 76,633,460.09/9,873.32
  6. Step 6: Final answer
    x = 7,761.67

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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.