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Finding the Fourth Proportional to 9,202.46, 12,684.24 and 6,510.20

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Solution

The fourth proportional to 9,202.46, 12,684.24 and 6,510.20 is: 8,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.46 : 12,684.24 = 6,510.20 : x
  2. Step 2: Convert to fraction form
    9,202.46/12,684.24 = 6,510.20/x
  3. Step 3: Cross multiply
    9,202.46x = 12,684.24 × 6,510.20
  4. Step 4: Simplify right side
    9,202.46x = 82,576,970.33
  5. Step 5: Solve for x
    x = 82,576,970.33/9,202.46
  6. Step 6: Final answer
    x = 8,973.35

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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.