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Finding the Fourth Proportional to 9,677.48, 14,512.11 and 3,100.07

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Solution

The fourth proportional to 9,677.48, 14,512.11 and 3,100.07 is: 4,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.48 : 14,512.11 = 3,100.07 : x
  2. Step 2: Convert to fraction form
    9,677.48/14,512.11 = 3,100.07/x
  3. Step 3: Cross multiply
    9,677.48x = 14,512.11 × 3,100.07
  4. Step 4: Simplify right side
    9,677.48x = 44,988,598.94
  5. Step 5: Solve for x
    x = 44,988,598.94/9,677.48
  6. Step 6: Final answer
    x = 4,648.80

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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.