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Finding the Fourth Proportional to 9,281.70, 12,809.34 and 5,249.52

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Solution

The fourth proportional to 9,281.70, 12,809.34 and 5,249.52 is: 7,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.70 : 12,809.34 = 5,249.52 : x
  2. Step 2: Convert to fraction form
    9,281.70/12,809.34 = 5,249.52/x
  3. Step 3: Cross multiply
    9,281.70x = 12,809.34 × 5,249.52
  4. Step 4: Simplify right side
    9,281.70x = 67,242,886.52
  5. Step 5: Solve for x
    x = 67,242,886.52/9,281.70
  6. Step 6: Final answer
    x = 7,244.67

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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.