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Finding the Fourth Proportional to 10,383.20, 15,494.96 and 9,276

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Solution

The fourth proportional to 10,383.20, 15,494.96 and 9,276 is: 13,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.20 : 15,494.96 = 9,276 : x
  2. Step 2: Convert to fraction form
    10,383.20/15,494.96 = 9,276/x
  3. Step 3: Cross multiply
    10,383.20x = 15,494.96 × 9,276
  4. Step 4: Simplify right side
    10,383.20x = 143,731,248.96
  5. Step 5: Solve for x
    x = 143,731,248.96/10,383.20
  6. Step 6: Final answer
    x = 13,842.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.