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Finding the Fourth Proportional to 9,527.25, 14,290.74 and 5,779.92

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Solution

The fourth proportional to 9,527.25, 14,290.74 and 5,779.92 is: 8,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.25 : 14,290.74 = 5,779.92 : x
  2. Step 2: Convert to fraction form
    9,527.25/14,290.74 = 5,779.92/x
  3. Step 3: Cross multiply
    9,527.25x = 14,290.74 × 5,779.92
  4. Step 4: Simplify right side
    9,527.25x = 82,599,333.94
  5. Step 5: Solve for x
    x = 82,599,333.94/9,527.25
  6. Step 6: Final answer
    x = 8,669.80

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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.