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Finding the Fourth Proportional to 9,532.59, 14,300.70 and 3,693.30

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Solution

The fourth proportional to 9,532.59, 14,300.70 and 3,693.30 is: 5,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.59 : 14,300.70 = 3,693.30 : x
  2. Step 2: Convert to fraction form
    9,532.59/14,300.70 = 3,693.30/x
  3. Step 3: Cross multiply
    9,532.59x = 14,300.70 × 3,693.30
  4. Step 4: Simplify right side
    9,532.59x = 52,816,728.61
  5. Step 5: Solve for x
    x = 52,816,728.61/9,532.59
  6. Step 6: Final answer
    x = 5,540.65

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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.