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Finding the Fourth Proportional to 9,635.86, 14,453.94 and 5,281.00

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Solution

The fourth proportional to 9,635.86, 14,453.94 and 5,281.00 is: 7,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.86 : 14,453.94 = 5,281.00 : x
  2. Step 2: Convert to fraction form
    9,635.86/14,453.94 = 5,281.00/x
  3. Step 3: Cross multiply
    9,635.86x = 14,453.94 × 5,281.00
  4. Step 4: Simplify right side
    9,635.86x = 76,331,240.81
  5. Step 5: Solve for x
    x = 76,331,240.81/9,635.86
  6. Step 6: Final answer
    x = 7,921.58

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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.