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Finding the Fourth Proportional to 9,525.58, 14,289.31 and 3,284.77

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Solution

The fourth proportional to 9,525.58, 14,289.31 and 3,284.77 is: 4,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.58 : 14,289.31 = 3,284.77 : x
  2. Step 2: Convert to fraction form
    9,525.58/14,289.31 = 3,284.77/x
  3. Step 3: Cross multiply
    9,525.58x = 14,289.31 × 3,284.77
  4. Step 4: Simplify right side
    9,525.58x = 46,937,052.87
  5. Step 5: Solve for x
    x = 46,937,052.87/9,525.58
  6. Step 6: Final answer
    x = 4,927.48

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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.