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Finding the Fourth Proportional to 9,701.06, 14,541.23 and 5,532.09

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Solution

The fourth proportional to 9,701.06, 14,541.23 and 5,532.09 is: 8,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.06 : 14,541.23 = 5,532.09 : x
  2. Step 2: Convert to fraction form
    9,701.06/14,541.23 = 5,532.09/x
  3. Step 3: Cross multiply
    9,701.06x = 14,541.23 × 5,532.09
  4. Step 4: Simplify right side
    9,701.06x = 80,443,365.41
  5. Step 5: Solve for x
    x = 80,443,365.41/9,701.06
  6. Step 6: Final answer
    x = 8,292.23

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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.