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Finding the Fourth Proportional to 9,677.25, 14,492.49 and 5,504.60

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Solution

The fourth proportional to 9,677.25, 14,492.49 and 5,504.60 is: 8,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.25 : 14,492.49 = 5,504.60 : x
  2. Step 2: Convert to fraction form
    9,677.25/14,492.49 = 5,504.60/x
  3. Step 3: Cross multiply
    9,677.25x = 14,492.49 × 5,504.60
  4. Step 4: Simplify right side
    9,677.25x = 79,775,440.74
  5. Step 5: Solve for x
    x = 79,775,440.74/9,677.25
  6. Step 6: Final answer
    x = 8,243.61

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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.