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Finding the Fourth Proportional to 11,437.20, 15,772.32 and 6,961.14

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Solution

The fourth proportional to 11,437.20, 15,772.32 and 6,961.14 is: 9,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.20 : 15,772.32 = 6,961.14 : x
  2. Step 2: Convert to fraction form
    11,437.20/15,772.32 = 6,961.14/x
  3. Step 3: Cross multiply
    11,437.20x = 15,772.32 × 6,961.14
  4. Step 4: Simplify right side
    11,437.20x = 109,793,327.64
  5. Step 5: Solve for x
    x = 109,793,327.64/11,437.20
  6. Step 6: Final answer
    x = 9,599.67

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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.