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Finding the Fourth Proportional to 35,857.12, 53,788.80 and 9,562

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Solution

The fourth proportional to 35,857.12, 53,788.80 and 9,562 is: 14,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.12 : 53,788.80 = 9,562 : x
  2. Step 2: Convert to fraction form
    35,857.12/53,788.80 = 9,562/x
  3. Step 3: Cross multiply
    35,857.12x = 53,788.80 × 9,562
  4. Step 4: Simplify right side
    35,857.12x = 514,328,505.60
  5. Step 5: Solve for x
    x = 514,328,505.60/35,857.12
  6. Step 6: Final answer
    x = 14,343.83

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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.