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Finding the Fourth Proportional to 9,852.96, 14,778.65 and 3,612.72

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Solution

The fourth proportional to 9,852.96, 14,778.65 and 3,612.72 is: 5,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.96 : 14,778.65 = 3,612.72 : x
  2. Step 2: Convert to fraction form
    9,852.96/14,778.65 = 3,612.72/x
  3. Step 3: Cross multiply
    9,852.96x = 14,778.65 × 3,612.72
  4. Step 4: Simplify right side
    9,852.96x = 53,391,106.36
  5. Step 5: Solve for x
    x = 53,391,106.36/9,852.96
  6. Step 6: Final answer
    x = 5,418.79

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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.