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Finding the Fourth Proportional to 9,635.54, 14,435.63 and 8,085.47

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Solution

The fourth proportional to 9,635.54, 14,435.63 and 8,085.47 is: 12,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.54 : 14,435.63 = 8,085.47 : x
  2. Step 2: Convert to fraction form
    9,635.54/14,435.63 = 8,085.47/x
  3. Step 3: Cross multiply
    9,635.54x = 14,435.63 × 8,085.47
  4. Step 4: Simplify right side
    9,635.54x = 116,718,812.87
  5. Step 5: Solve for x
    x = 116,718,812.87/9,635.54
  6. Step 6: Final answer
    x = 12,113.36

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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.