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Finding the Fourth Proportional to 9,651.46, 13,319.34 and 5,672.51

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Solution

The fourth proportional to 9,651.46, 13,319.34 and 5,672.51 is: 7,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.46 : 13,319.34 = 5,672.51 : x
  2. Step 2: Convert to fraction form
    9,651.46/13,319.34 = 5,672.51/x
  3. Step 3: Cross multiply
    9,651.46x = 13,319.34 × 5,672.51
  4. Step 4: Simplify right side
    9,651.46x = 75,554,060.98
  5. Step 5: Solve for x
    x = 75,554,060.98/9,651.46
  6. Step 6: Final answer
    x = 7,828.26

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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.