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Finding the Fourth Proportional to 9,587.26, 14,382.71 and 3,743.50

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Solution

The fourth proportional to 9,587.26, 14,382.71 and 3,743.50 is: 5,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.26 : 14,382.71 = 3,743.50 : x
  2. Step 2: Convert to fraction form
    9,587.26/14,382.71 = 3,743.50/x
  3. Step 3: Cross multiply
    9,587.26x = 14,382.71 × 3,743.50
  4. Step 4: Simplify right side
    9,587.26x = 53,841,674.89
  5. Step 5: Solve for x
    x = 53,841,674.89/9,587.26
  6. Step 6: Final answer
    x = 5,615.96

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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.