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Finding the Fourth Proportional to 9,200.34, 13,798.58 and 2,624.76

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Solution

The fourth proportional to 9,200.34, 13,798.58 and 2,624.76 is: 3,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.34 : 13,798.58 = 2,624.76 : x
  2. Step 2: Convert to fraction form
    9,200.34/13,798.58 = 2,624.76/x
  3. Step 3: Cross multiply
    9,200.34x = 13,798.58 × 2,624.76
  4. Step 4: Simplify right side
    9,200.34x = 36,217,960.84
  5. Step 5: Solve for x
    x = 36,217,960.84/9,200.34
  6. Step 6: Final answer
    x = 3,936.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.