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Finding the Fourth Proportional to 9,771.36, 14,648.10 and 3,529.92

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Solution

The fourth proportional to 9,771.36, 14,648.10 and 3,529.92 is: 5,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.36 : 14,648.10 = 3,529.92 : x
  2. Step 2: Convert to fraction form
    9,771.36/14,648.10 = 3,529.92/x
  3. Step 3: Cross multiply
    9,771.36x = 14,648.10 × 3,529.92
  4. Step 4: Simplify right side
    9,771.36x = 51,706,621.15
  5. Step 5: Solve for x
    x = 51,706,621.15/9,771.36
  6. Step 6: Final answer
    x = 5,291.65

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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.