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Finding the Fourth Proportional to 35,852.42, 53,778.84 and 9,557.09

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Solution

The fourth proportional to 35,852.42, 53,778.84 and 9,557.09 is: 14,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852.42 : 53,778.84 = 9,557.09 : x
  2. Step 2: Convert to fraction form
    35,852.42/53,778.84 = 9,557.09/x
  3. Step 3: Cross multiply
    35,852.42x = 53,778.84 × 9,557.09
  4. Step 4: Simplify right side
    35,852.42x = 513,969,110.91
  5. Step 5: Solve for x
    x = 513,969,110.91/35,852.42
  6. Step 6: Final answer
    x = 14,335.69

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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.