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Finding the Fourth Proportional to 9,437.76, 13,017.24 and 6,450.48

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Solution

The fourth proportional to 9,437.76, 13,017.24 and 6,450.48 is: 8,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.76 : 13,017.24 = 6,450.48 : x
  2. Step 2: Convert to fraction form
    9,437.76/13,017.24 = 6,450.48/x
  3. Step 3: Cross multiply
    9,437.76x = 13,017.24 × 6,450.48
  4. Step 4: Simplify right side
    9,437.76x = 83,967,446.28
  5. Step 5: Solve for x
    x = 83,967,446.28/9,437.76
  6. Step 6: Final answer
    x = 8,896.97

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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.