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Finding the Fourth Proportional to 9,282.54, 12,798.63 and 6,452.31

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Solution

The fourth proportional to 9,282.54, 12,798.63 and 6,452.31 is: 8,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.54 : 12,798.63 = 6,452.31 : x
  2. Step 2: Convert to fraction form
    9,282.54/12,798.63 = 6,452.31/x
  3. Step 3: Cross multiply
    9,282.54x = 12,798.63 × 6,452.31
  4. Step 4: Simplify right side
    9,282.54x = 82,580,728.34
  5. Step 5: Solve for x
    x = 82,580,728.34/9,282.54
  6. Step 6: Final answer
    x = 8,896.35

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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.