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Finding the Fourth Proportional to 9,761.32, 14,635.02 and 4,564.36

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Solution

The fourth proportional to 9,761.32, 14,635.02 and 4,564.36 is: 6,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.32 : 14,635.02 = 4,564.36 : x
  2. Step 2: Convert to fraction form
    9,761.32/14,635.02 = 4,564.36/x
  3. Step 3: Cross multiply
    9,761.32x = 14,635.02 × 4,564.36
  4. Step 4: Simplify right side
    9,761.32x = 66,799,499.89
  5. Step 5: Solve for x
    x = 66,799,499.89/9,761.32
  6. Step 6: Final answer
    x = 6,843.29

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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.