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Finding the Fourth Proportional to 9,202.56, 12,699.84 and 5,011.20

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Solution

The fourth proportional to 9,202.56, 12,699.84 and 5,011.20 is: 6,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.56 : 12,699.84 = 5,011.20 : x
  2. Step 2: Convert to fraction form
    9,202.56/12,699.84 = 5,011.20/x
  3. Step 3: Cross multiply
    9,202.56x = 12,699.84 × 5,011.20
  4. Step 4: Simplify right side
    9,202.56x = 63,641,438.21
  5. Step 5: Solve for x
    x = 63,641,438.21/9,202.56
  6. Step 6: Final answer
    x = 6,915.62

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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.