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Finding the Fourth Proportional to 9,701.12, 14,541.72 and 5,532.60

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Solution

The fourth proportional to 9,701.12, 14,541.72 and 5,532.60 is: 8,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.12 : 14,541.72 = 5,532.60 : x
  2. Step 2: Convert to fraction form
    9,701.12/14,541.72 = 5,532.60/x
  3. Step 3: Cross multiply
    9,701.12x = 14,541.72 × 5,532.60
  4. Step 4: Simplify right side
    9,701.12x = 80,453,520.07
  5. Step 5: Solve for x
    x = 80,453,520.07/9,701.12
  6. Step 6: Final answer
    x = 8,293.22

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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.