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Finding the Fourth Proportional to 9,532.70, 14,298.84 and 2,607.20

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Solution

The fourth proportional to 9,532.70, 14,298.84 and 2,607.20 is: 3,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.70 : 14,298.84 = 2,607.20 : x
  2. Step 2: Convert to fraction form
    9,532.70/14,298.84 = 2,607.20/x
  3. Step 3: Cross multiply
    9,532.70x = 14,298.84 × 2,607.20
  4. Step 4: Simplify right side
    9,532.70x = 37,279,864.15
  5. Step 5: Solve for x
    x = 37,279,864.15/9,532.70
  6. Step 6: Final answer
    x = 3,910.74

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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.