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Finding the Fourth Proportional to 9,760.88, 14,636.40 and 4,494.32

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Solution

The fourth proportional to 9,760.88, 14,636.40 and 4,494.32 is: 6,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.88 : 14,636.40 = 4,494.32 : x
  2. Step 2: Convert to fraction form
    9,760.88/14,636.40 = 4,494.32/x
  3. Step 3: Cross multiply
    9,760.88x = 14,636.40 × 4,494.32
  4. Step 4: Simplify right side
    9,760.88x = 65,780,665.25
  5. Step 5: Solve for x
    x = 65,780,665.25/9,760.88
  6. Step 6: Final answer
    x = 6,739.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.