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Finding the Fourth Proportional to 9,532.56, 14,299.80 and 2,607.12

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Solution

The fourth proportional to 9,532.56, 14,299.80 and 2,607.12 is: 3,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.56 : 14,299.80 = 2,607.12 : x
  2. Step 2: Convert to fraction form
    9,532.56/14,299.80 = 2,607.12/x
  3. Step 3: Cross multiply
    9,532.56x = 14,299.80 × 2,607.12
  4. Step 4: Simplify right side
    9,532.56x = 37,281,294.58
  5. Step 5: Solve for x
    x = 37,281,294.58/9,532.56
  6. Step 6: Final answer
    x = 3,910.94

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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.